(** The Z3 ML/Ocaml Interface. Copyright (C) 2012 Microsoft Corporation @author CM Wintersteiger (cwinter) 2012-12-17 *) open Z3enums (* Some helpers. *) let null = Z3native.mk_null() let is_null o = (Z3native.is_null o) (* Internal types *) type z3_native_context = { m_n_ctx : Z3native.z3_context; m_n_obj_cnt: int; } type context = z3_native_context type z3_native_object = { m_ctx : context ; mutable m_n_obj : Z3native.ptr ; inc_ref : Z3native.z3_context -> Z3native.ptr -> unit; dec_ref : Z3native.z3_context -> Z3native.ptr -> unit } (** Internal stuff *) module Internal = struct let dispose_context ctx = if ctx.m_n_obj_cnt == 0 then ( (Z3native.del_context ctx.m_n_ctx) ) else ( Printf.printf "ERROR: NOT DISPOSING CONTEXT (because it still has %d objects alive)\n" ctx.m_n_obj_cnt; ) let create_context settings = let cfg = Z3native.mk_config in let f e = (Z3native.set_param_value cfg (fst e) (snd e)) in (List.iter f settings) ; let v = Z3native.mk_context_rc cfg in Z3native.del_config(cfg) ; Z3native.set_ast_print_mode v (int_of_ast_print_mode PRINT_SMTLIB2_COMPLIANT) ; Z3native.set_internal_error_handler v ; let res = { m_n_ctx = v; m_n_obj_cnt = 0 } in let f = fun o -> dispose_context o in Gc.finalise f res; res let context_add1 ctx = ignore (ctx.m_n_obj_cnt = ctx.m_n_obj_cnt + 1) let context_sub1 ctx = ignore (ctx.m_n_obj_cnt = ctx.m_n_obj_cnt - 1) let context_gno ctx = ctx.m_n_ctx let z3obj_gc o = o.m_ctx let z3obj_gnc o = (context_gno o.m_ctx) let z3obj_gno o = o.m_n_obj let z3obj_sno o ctx no = (context_add1 ctx) ; o.inc_ref (context_gno ctx) no ; ( if not (is_null o.m_n_obj) then o.dec_ref (context_gno ctx) o.m_n_obj ; (context_sub1 ctx) ) ; o.m_n_obj <- no let z3obj_dispose o = if not (is_null o.m_n_obj) then ( o.dec_ref (z3obj_gnc o) o.m_n_obj ; (context_sub1 (z3obj_gc o)) ) ; o.m_n_obj <- null let z3obj_create o = let f = fun o -> (z3obj_dispose o) in Gc.finalise f o let z3obj_nil_ref x y = () let z3_native_object_of_ast_ptr : context -> Z3native.ptr -> z3_native_object = fun ctx no -> let res : z3_native_object = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.inc_ref ; dec_ref = Z3native.dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res end open Internal module Log = struct let open_ filename = ((lbool_of_int (Z3native.open_log filename)) == L_TRUE) let close = Z3native.close_log let append s = Z3native.append_log s end module Version = struct let major = let (x, _, _, _) = Z3native.get_version in x let minor = let (_, x, _, _) = Z3native.get_version in x let build = let (_, _, x, _) = Z3native.get_version in x let revision = let (_, _, _, x) = Z3native.get_version in x let to_string = let (mj, mn, bld, rev) = Z3native.get_version in string_of_int mj ^ "." ^ string_of_int mn ^ "." ^ string_of_int bld ^ "." ^ string_of_int rev ^ "." end let mk_list ( f : int -> 'a ) ( n : int ) = let rec mk_list' ( f : int -> 'a ) ( i : int ) ( n : int ) ( tail : 'a list ) : 'a list = if (i >= n) then tail else (mk_list' f (i+1) n ((f i) :: tail)) in mk_list' f 0 n [] let list_of_array ( x : _ array ) = let f i = (Array.get x i) in mk_list f (Array.length x) let mk_context ( cfg : ( string * string ) list ) = create_context cfg module Symbol = struct (* Symbol types *) type int_symbol = z3_native_object type string_symbol = z3_native_object type symbol = | S_Int of int_symbol | S_Str of string_symbol let create_i ( ctx : context ) ( no : Z3native.ptr ) = let res : int_symbol = { m_ctx = ctx ; m_n_obj = null ; inc_ref = z3obj_nil_ref ; dec_ref = z3obj_nil_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let create_s ( ctx : context ) ( no : Z3native.ptr ) = let res : string_symbol = { m_ctx = ctx ; m_n_obj = null ; inc_ref = z3obj_nil_ref ; dec_ref = z3obj_nil_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let create ( ctx : context ) ( no : Z3native.ptr ) = match (symbol_kind_of_int (Z3native.get_symbol_kind (context_gno ctx) no)) with | INT_SYMBOL -> S_Int (create_i ctx no) | STRING_SYMBOL -> S_Str (create_s ctx no) let gc ( x : symbol ) = match x with | S_Int(n) -> (z3obj_gc n) | S_Str(n) -> (z3obj_gc n) let gnc ( x : symbol ) = match x with | S_Int(n) -> (z3obj_gnc n) | S_Str(n) -> (z3obj_gnc n) let gno ( x : symbol ) = match x with | S_Int(n) -> (z3obj_gno n) | S_Str(n) -> (z3obj_gno n) let symbol_lton ( a : symbol list ) = let f ( e : symbol ) = (gno e) in Array.of_list (List.map f a) let kind ( o : symbol ) = (symbol_kind_of_int (Z3native.get_symbol_kind (gnc o) (gno o))) let is_int_symbol ( o : symbol ) = (kind o) == INT_SYMBOL let is_string_symbol ( o : symbol ) = (kind o) == STRING_SYMBOL let get_int (o : int_symbol) = Z3native.get_symbol_int (z3obj_gnc o) (z3obj_gno o) let get_string (o : string_symbol) = Z3native.get_symbol_string (z3obj_gnc o) (z3obj_gno o) let to_string ( o : symbol ) = match (kind o) with | INT_SYMBOL -> (string_of_int (Z3native.get_symbol_int (gnc o) (gno o))) | STRING_SYMBOL -> (Z3native.get_symbol_string (gnc o) (gno o)) let mk_int ( ctx : context ) ( i : int ) = S_Int (create_i ctx (Z3native.mk_int_symbol (context_gno ctx) i)) let mk_string ( ctx : context ) ( s : string ) = S_Str (create_s ctx (Z3native.mk_string_symbol (context_gno ctx) s)) let mk_ints ( ctx : context ) ( names : int list ) = let f elem = mk_int ( ctx : context ) elem in (List.map f names) let mk_strings ( ctx : context ) ( names : string list ) = let f elem = mk_string ( ctx : context ) elem in (List.map f names) end module AST = struct type ast = z3_native_object let context_of_ast ( x : ast ) = (z3obj_gc x) let nc_of_ast ( x : ast ) = (z3obj_gnc x) let ptr_of_ast ( x : ast ) = (z3obj_gno x) let rec ast_of_ptr : context -> Z3native.ptr -> ast = fun ctx no -> match (ast_kind_of_int (Z3native.get_ast_kind (context_gno ctx) no)) with | FUNC_DECL_AST | SORT_AST | QUANTIFIER_AST | APP_AST | NUMERAL_AST | VAR_AST -> z3_native_object_of_ast_ptr ctx no | UNKNOWN_AST -> raise (Z3native.Exception "Cannot create asts of type unknown") module ASTVector = struct type ast_vector = z3_native_object let ast_vector_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let res : ast_vector = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.ast_vector_inc_ref ; dec_ref = Z3native.ast_vector_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let get_size ( x : ast_vector ) = Z3native.ast_vector_size (z3obj_gnc x) (z3obj_gno x) let get ( x : ast_vector ) ( i : int ) = ast_of_ptr (z3obj_gc x) (Z3native.ast_vector_get (z3obj_gnc x) (z3obj_gno x) i) let set ( x : ast_vector ) ( i : int ) ( value : ast ) = Z3native.ast_vector_set (z3obj_gnc x) (z3obj_gno x) i (z3obj_gno value) let resize ( x : ast_vector ) ( new_size : int ) = Z3native.ast_vector_resize (z3obj_gnc x) (z3obj_gno x) new_size let push ( x : ast_vector ) ( a : ast ) = Z3native.ast_vector_push (z3obj_gnc x) (z3obj_gno x) (z3obj_gno a) let translate ( x : ast_vector ) ( to_ctx : context ) = ast_vector_of_ptr to_ctx (Z3native.ast_vector_translate (z3obj_gnc x) (z3obj_gno x) (context_gno to_ctx)) let to_string ( x : ast_vector ) = Z3native.ast_vector_to_string (z3obj_gnc x) (z3obj_gno x) end module ASTMap = struct type ast_map = z3_native_object let astmap_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let res : ast_map = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.ast_map_inc_ref ; dec_ref = Z3native.ast_map_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let contains ( x : ast_map ) ( key : ast ) = Z3native.ast_map_contains (z3obj_gnc x) (z3obj_gno x) (z3obj_gno key) let find ( x : ast_map ) ( key : ast ) = ast_of_ptr (z3obj_gc x) (Z3native.ast_map_find (z3obj_gnc x) (z3obj_gno x) (z3obj_gno key)) let insert ( x : ast_map ) ( key : ast ) ( value : ast) = Z3native.ast_map_insert (z3obj_gnc x) (z3obj_gno x) (z3obj_gno key) (z3obj_gno value) let erase ( x : ast_map ) ( key : ast ) = Z3native.ast_map_erase (z3obj_gnc x) (z3obj_gno x) (z3obj_gno key) let reset ( x : ast_map ) = Z3native.ast_map_reset (z3obj_gnc x) (z3obj_gno x) let get_size ( x : ast_map ) = Z3native.ast_map_size (z3obj_gnc x) (z3obj_gno x) let get_keys ( x : ast_map ) = let av = ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.ast_map_keys (z3obj_gnc x) (z3obj_gno x)) in let f i = (ASTVector.get av i) in mk_list f (ASTVector.get_size av) let to_string ( x : ast_map ) = Z3native.ast_map_to_string (z3obj_gnc x) (z3obj_gno x) end let get_hash_code ( x : ast ) = Z3native.get_ast_hash (z3obj_gnc x) (z3obj_gno x) let get_id ( x : ast ) = Z3native.get_ast_id (z3obj_gnc x) (z3obj_gno x) let get_ast_kind ( x : ast ) = (ast_kind_of_int (Z3native.get_ast_kind (z3obj_gnc x) (z3obj_gno x))) let is_expr ( x : ast ) = match get_ast_kind ( x : ast ) with | APP_AST | NUMERAL_AST | QUANTIFIER_AST | VAR_AST -> true | _ -> false let is_var ( x : ast ) = (get_ast_kind x) == VAR_AST let is_quantifier ( x : ast ) = (get_ast_kind x) == QUANTIFIER_AST let is_sort ( x : ast ) = (get_ast_kind x) == SORT_AST let is_func_decl ( x : ast ) = (get_ast_kind x) == FUNC_DECL_AST let to_string ( x : ast ) = Z3native.ast_to_string (z3obj_gnc x) (z3obj_gno x) let to_sexpr ( x : ast ) = Z3native.ast_to_string (z3obj_gnc x) (z3obj_gno x) let ( = ) ( a : ast ) ( b : ast ) = (a == b) || if (z3obj_gnc a) != (z3obj_gnc b) then false else Z3native.is_eq_ast (z3obj_gnc a) (z3obj_gno a) (z3obj_gno b) let compare a b = if (get_id a) < (get_id b) then -1 else if (get_id a) > (get_id b) then 1 else 0 let ( < ) (a : ast) (b : ast) = (compare a b) let translate ( x : ast ) ( to_ctx : context ) = if (z3obj_gnc x) == (context_gno to_ctx) then x else ast_of_ptr to_ctx (Z3native.translate (z3obj_gnc x) (z3obj_gno x) (context_gno to_ctx)) let wrap_ast ( ctx : context ) ( ptr : Z3native.ptr ) = ast_of_ptr ctx ptr let unwrap_ast ( x : ast ) = (z3obj_gno x) end open AST module Sort = struct type sort = Sort of AST.ast type uninterpreted_sort = UninterpretedSort of sort let sort_of_ptr : context -> Z3native.ptr -> sort = fun ctx no -> let q = (z3_native_object_of_ast_ptr ctx no) in if ((Z3enums.ast_kind_of_int (Z3native.get_ast_kind (context_gno ctx) no)) != Z3enums.SORT_AST) then raise (Z3native.Exception "Invalid coercion") else match (sort_kind_of_int (Z3native.get_sort_kind (context_gno ctx) no)) with | ARRAY_SORT | BOOL_SORT | BV_SORT | DATATYPE_SORT | INT_SORT | REAL_SORT | UNINTERPRETED_SORT | FINITE_DOMAIN_SORT | RELATION_SORT -> Sort(q) | UNKNOWN_SORT -> raise (Z3native.Exception "Unknown sort kind encountered") let ast_of_sort s = match s with Sort(x) -> x let sort_of_uninterpreted_sort s = match s with UninterpretedSort(x) -> x let uninterpreted_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.UNINTERPRETED_SORT) then raise (Z3native.Exception "Invalid coercion") else UninterpretedSort(s) let gc ( x : sort ) = (match x with Sort(a) -> (z3obj_gc a)) let gnc ( x : sort ) = (match x with Sort(a) -> (z3obj_gnc a)) let gno ( x : sort ) = (match x with Sort(a) -> (z3obj_gno a)) let sort_lton ( a : sort list ) = let f ( e : sort ) = match e with Sort(a) -> (AST.ptr_of_ast a) in Array.of_list (List.map f a) let ( = ) : sort -> sort -> bool = fun a b -> (a == b) || if (gnc a) != (gnc b) then false else (Z3native.is_eq_sort (gnc a) (gno a) (gno b)) let get_id ( x : sort ) = Z3native.get_sort_id (gnc x) (gno x) let get_sort_kind ( x : sort ) = (sort_kind_of_int (Z3native.get_sort_kind (gnc x) (gno x))) let get_name ( x : sort ) = (Symbol.create (gc x) (Z3native.get_sort_name (gnc x) (gno x))) let to_string ( x : sort ) = Z3native.sort_to_string (gnc x) (gno x) let mk_uninterpreted ( ctx : context ) ( s : Symbol.symbol ) = let res = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.inc_ref ; dec_ref = Z3native.dec_ref } in (z3obj_sno res ctx (Z3native.mk_uninterpreted_sort (context_gno ctx) (Symbol.gno s))) ; (z3obj_create res) ; UninterpretedSort(Sort(res)) let mk_uninterpreted_s ( ctx : context ) ( s : string ) = mk_uninterpreted ctx (Symbol.mk_string ( ctx : context ) s) end open Sort module rec FuncDecl : sig type func_decl = FuncDecl of AST.ast val ast_of_func_decl : FuncDecl.func_decl -> AST.ast val func_decl_of_ptr : context -> Z3native.ptr -> func_decl val gc : func_decl -> context val gnc : func_decl -> Z3native.ptr val gno : func_decl -> Z3native.ptr module Parameter : sig type parameter = P_Int of int | P_Dbl of float | P_Sym of Symbol.symbol | P_Srt of Sort.sort | P_Ast of AST.ast | P_Fdl of func_decl | P_Rat of string val get_kind : parameter -> Z3enums.parameter_kind val get_int : parameter -> int val get_float : parameter -> float val get_symbol : parameter -> Symbol.symbol val get_sort : parameter -> Sort.sort val get_ast : parameter -> AST.ast val get_func_decl : parameter -> func_decl val get_rational : parameter -> string end val mk_func_decl : context -> Symbol.symbol -> Sort.sort list -> Sort.sort -> func_decl val mk_func_decl_s : context -> string -> Sort.sort list -> Sort.sort -> func_decl val mk_fresh_func_decl : context -> string -> Sort.sort list -> Sort.sort -> func_decl val mk_const_decl : context -> Symbol.symbol -> Sort.sort -> func_decl val mk_const_decl_s : context -> string -> Sort.sort -> func_decl val mk_fresh_const_decl : context -> string -> Sort.sort -> func_decl val ( = ) : func_decl -> func_decl -> bool val to_string : func_decl -> string val get_id : func_decl -> int val get_arity : func_decl -> int val get_domain_size : func_decl -> int val get_domain : func_decl -> Sort.sort list val get_range : func_decl -> Sort.sort val get_decl_kind : func_decl -> Z3enums.decl_kind val get_name : func_decl -> Symbol.symbol val get_num_parameters : func_decl -> int val get_parameters : func_decl -> Parameter.parameter list val apply : func_decl -> Expr.expr list -> Expr.expr end = struct type func_decl = FuncDecl of AST.ast let func_decl_of_ptr : context -> Z3native.ptr -> func_decl = fun ctx no -> if ((Z3enums.ast_kind_of_int (Z3native.get_ast_kind (context_gno ctx) no)) != Z3enums.FUNC_DECL_AST) then raise (Z3native.Exception "Invalid coercion") else FuncDecl(z3_native_object_of_ast_ptr ctx no) let ast_of_func_decl f = match f with FuncDecl(x) -> x let create_ndr ( ctx : context ) ( name : Symbol.symbol ) ( domain : sort list ) ( range : sort ) = let res = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.inc_ref ; dec_ref = Z3native.dec_ref } in (z3obj_sno res ctx (Z3native.mk_func_decl (context_gno ctx) (Symbol.gno name) (List.length domain) (sort_lton domain) (Sort.gno range))) ; (z3obj_create res) ; FuncDecl(res) let create_pdr ( ctx : context) ( prefix : string ) ( domain : sort list ) ( range : sort ) = let res = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.inc_ref ; dec_ref = Z3native.dec_ref } in (z3obj_sno res ctx (Z3native.mk_fresh_func_decl (context_gno ctx) prefix (List.length domain) (sort_lton domain) (Sort.gno range))) ; (z3obj_create res) ; FuncDecl(res) let gc ( x : func_decl ) = match x with FuncDecl(a) -> (z3obj_gc a) let gnc ( x : func_decl ) = match x with FuncDecl(a) -> (z3obj_gnc a) let gno ( x : func_decl ) = match x with FuncDecl(a) -> (z3obj_gno a) module Parameter = struct type parameter = | P_Int of int | P_Dbl of float | P_Sym of Symbol.symbol | P_Srt of Sort.sort | P_Ast of AST.ast | P_Fdl of func_decl | P_Rat of string let get_kind ( x : parameter ) = (match x with | P_Int(_) -> PARAMETER_INT | P_Dbl(_) -> PARAMETER_DOUBLE | P_Sym(_) -> PARAMETER_SYMBOL | P_Srt(_) -> PARAMETER_SORT | P_Ast(_) -> PARAMETER_AST | P_Fdl(_) -> PARAMETER_FUNC_DECL | P_Rat(_) -> PARAMETER_RATIONAL) let get_int ( x : parameter ) = match x with | P_Int(x) -> x | _ -> raise (Z3native.Exception "parameter is not an int") let get_float ( x : parameter ) = match x with | P_Dbl(x) -> x | _ -> raise (Z3native.Exception "parameter is not a double") let get_symbol ( x : parameter ) = match x with | P_Sym(x) -> x | _ -> raise (Z3native.Exception "parameter is not a symbol") let get_sort ( x : parameter ) = match x with | P_Srt(x) -> x | _ -> raise (Z3native.Exception "parameter is not a sort") let get_ast ( x : parameter ) = match x with | P_Ast(x) -> x | _ -> raise (Z3native.Exception "parameter is not an ast") let get_func_decl ( x : parameter ) = match x with | P_Fdl(x) -> x | _ -> raise (Z3native.Exception "parameter is not a func_decl") let get_rational ( x : parameter ) = match x with | P_Rat(x) -> x | _ -> raise (Z3native.Exception "parameter is not a rational string") end let mk_func_decl ( ctx : context ) ( name : Symbol.symbol ) ( domain : sort list ) ( range : sort ) = create_ndr ctx name domain range let mk_func_decl_s ( ctx : context ) ( name : string ) ( domain : sort list ) ( range : sort ) = mk_func_decl ctx (Symbol.mk_string ctx name) domain range let mk_fresh_func_decl ( ctx : context ) ( prefix : string ) ( domain : sort list ) ( range : sort ) = create_pdr ctx prefix domain range let mk_const_decl ( ctx : context ) ( name : Symbol.symbol ) ( range : sort ) = create_ndr ctx name [] range let mk_const_decl_s ( ctx : context ) ( name : string ) ( range : sort ) = create_ndr ctx (Symbol.mk_string ctx name) [] range let mk_fresh_const_decl ( ctx : context ) ( prefix : string ) ( range : sort ) = create_pdr ctx prefix [] range let ( = ) ( a : func_decl ) ( b : func_decl ) = (a == b) || if (gnc a) != (gnc b) then false else (Z3native.is_eq_func_decl (gnc a) (gno a) (gno b)) let to_string ( x : func_decl ) = Z3native.func_decl_to_string (gnc x) (gno x) let get_id ( x : func_decl ) = Z3native.get_func_decl_id (gnc x) (gno x) let get_arity ( x : func_decl ) = Z3native.get_arity (gnc x) (gno x) let get_domain_size ( x : func_decl ) = Z3native.get_domain_size (gnc x) (gno x) let get_domain ( x : func_decl ) = let n = (get_domain_size x) in let f i = sort_of_ptr (gc x) (Z3native.get_domain (gnc x) (gno x) i) in mk_list f n let get_range ( x : func_decl ) = sort_of_ptr (gc x) (Z3native.get_range (gnc x) (gno x)) let get_decl_kind ( x : func_decl ) = (decl_kind_of_int (Z3native.get_decl_kind (gnc x) (gno x))) let get_name ( x : func_decl ) = (Symbol.create (gc x) (Z3native.get_decl_name (gnc x) (gno x))) let get_num_parameters ( x : func_decl ) = (Z3native.get_decl_num_parameters (gnc x) (gno x)) let get_parameters ( x : func_decl ) = let n = (get_num_parameters x) in let f i = (match (parameter_kind_of_int (Z3native.get_decl_parameter_kind (gnc x) (gno x) i)) with | PARAMETER_INT -> Parameter.P_Int (Z3native.get_decl_int_parameter (gnc x) (gno x) i) | PARAMETER_DOUBLE -> Parameter.P_Dbl (Z3native.get_decl_double_parameter (gnc x) (gno x) i) | PARAMETER_SYMBOL-> Parameter.P_Sym (Symbol.create (gc x) (Z3native.get_decl_symbol_parameter (gnc x) (gno x) i)) | PARAMETER_SORT -> Parameter.P_Srt (sort_of_ptr (gc x) (Z3native.get_decl_sort_parameter (gnc x) (gno x) i)) | PARAMETER_AST -> Parameter.P_Ast (AST.ast_of_ptr (gc x) (Z3native.get_decl_ast_parameter (gnc x) (gno x) i)) | PARAMETER_FUNC_DECL -> Parameter.P_Fdl (func_decl_of_ptr (gc x) (Z3native.get_decl_func_decl_parameter (gnc x) (gno x) i)) | PARAMETER_RATIONAL -> Parameter.P_Rat (Z3native.get_decl_rational_parameter (gnc x) (gno x) i) ) in mk_list f n let apply ( x : func_decl ) ( args : Expr.expr list ) = Expr.expr_of_func_app (gc x) x args end and Params : sig type params = z3_native_object module ParamDescrs : sig type param_descrs val param_descrs_of_ptr : context -> Z3native.ptr -> param_descrs val validate : param_descrs -> params -> unit val get_kind : param_descrs -> Symbol.symbol -> Z3enums.param_kind val get_names : param_descrs -> Symbol.symbol list val get_size : param_descrs -> int val to_string : param_descrs -> string end val add_bool : params -> Symbol.symbol -> bool -> unit val add_int : params -> Symbol.symbol -> int -> unit val add_double : params -> Symbol.symbol -> float -> unit val add_symbol : params -> Symbol.symbol -> Symbol.symbol -> unit val add_s_bool : params -> string -> bool -> unit val add_s_int : params -> string -> int -> unit val add_s_double : params -> string -> float -> unit val add_s_symbol : params -> string -> Symbol.symbol -> unit val mk_params : context -> params val to_string : params -> string end = struct type params = z3_native_object module ParamDescrs = struct type param_descrs = z3_native_object let param_descrs_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let res : param_descrs = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.param_descrs_inc_ref ; dec_ref = Z3native.param_descrs_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let validate ( x : param_descrs ) ( p : params ) = Z3native.params_validate (z3obj_gnc x) (z3obj_gno p) (z3obj_gno x) let get_kind ( x : param_descrs ) ( name : Symbol.symbol ) = (param_kind_of_int (Z3native.param_descrs_get_kind (z3obj_gnc x) (z3obj_gno x) (Symbol.gno name))) let get_names ( x : param_descrs ) = let n = Z3native.param_descrs_size (z3obj_gnc x) (z3obj_gno x) in let f i = Symbol.create (z3obj_gc x) (Z3native.param_descrs_get_name (z3obj_gnc x) (z3obj_gno x) i) in mk_list f n let get_size ( x : param_descrs ) = Z3native.param_descrs_size (z3obj_gnc x) (z3obj_gno x) let to_string ( x : param_descrs ) = Z3native.param_descrs_to_string (z3obj_gnc x) (z3obj_gno x) end let add_bool ( x : params ) ( name : Symbol.symbol ) ( value : bool ) = Z3native.params_set_bool (z3obj_gnc x) (z3obj_gno x) (Symbol.gno name) value let add_int ( x : params ) (name : Symbol.symbol ) ( value : int ) = Z3native.params_set_uint (z3obj_gnc x) (z3obj_gno x) (Symbol.gno name) value let add_double ( x : params ) ( name : Symbol.symbol ) ( value : float ) = Z3native.params_set_double (z3obj_gnc x) (z3obj_gno x) (Symbol.gno name) value let add_symbol ( x : params ) ( name : Symbol.symbol ) ( value : Symbol.symbol ) = Z3native.params_set_symbol (z3obj_gnc x) (z3obj_gno x) (Symbol.gno name) (Symbol.gno value) let add_s_bool ( x : params ) ( name : string ) ( value : bool ) = add_bool x (Symbol.mk_string (z3obj_gc x) name) value let add_s_int ( x : params) ( name : string ) ( value : int ) = add_int x (Symbol.mk_string (z3obj_gc x) name) value let add_s_double ( x : params ) ( name : string ) ( value : float ) = add_double x (Symbol.mk_string (z3obj_gc x) name) value let add_s_symbol ( x : params ) ( name : string ) ( value : Symbol.symbol ) = add_symbol x (Symbol.mk_string (z3obj_gc x) name) value let mk_params ( ctx : context ) = let res : params = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.params_inc_ref ; dec_ref = Z3native.params_dec_ref } in (z3obj_sno res ctx (Z3native.mk_params (context_gno ctx))) ; (z3obj_create res) ; res let to_string ( x : params ) = Z3native.params_to_string (z3obj_gnc x) (z3obj_gno x) end (** General expressions (terms) *) and Expr : sig type expr = Expr of AST.ast val expr_of_ptr : context -> Z3native.ptr -> expr val c_of_expr : expr -> context val nc_of_expr : expr -> Z3native.ptr val ptr_of_expr : expr -> Z3native.ptr val expr_lton : expr list -> Z3native.ptr array val ast_of_expr : expr -> AST.ast val expr_of_ast : AST.ast -> expr val expr_of_func_app : context -> FuncDecl.func_decl -> expr list -> expr val simplify : expr -> Params.params option -> expr val get_simplify_help : context -> string val get_simplify_parameter_descrs : context -> Params.ParamDescrs.param_descrs val get_func_decl : expr -> FuncDecl.func_decl val get_bool_value : expr -> Z3enums.lbool val get_num_args : expr -> int val get_args : expr -> expr list val update : expr -> expr list -> expr val substitute : expr -> expr list -> expr list -> expr val substitute_one : expr -> expr -> expr -> expr val substitute_vars : expr -> expr list -> expr val translate : expr -> context -> expr val to_string : expr -> string val is_numeral : expr -> bool val is_well_sorted : expr -> bool val get_sort : expr -> Sort.sort val is_bool : expr -> bool val is_const : expr -> bool val is_true : expr -> bool val is_false : expr -> bool val is_eq : expr -> bool val is_distinct : expr -> bool val is_ite : expr -> bool val is_and : expr -> bool val is_or : expr -> bool val is_iff : expr -> bool val is_xor : expr -> bool val is_not : expr -> bool val is_implies : expr -> bool val is_label : expr -> bool val is_label_lit : expr -> bool val is_oeq : expr -> bool val mk_const : context -> Symbol.symbol -> Sort.sort -> expr val mk_const_s : context -> string -> Sort.sort -> expr val mk_const_f : context -> FuncDecl.func_decl -> expr val mk_fresh_const : context -> string -> Sort.sort -> expr val mk_app : context -> FuncDecl.func_decl -> expr list -> expr val mk_numeral_string : context -> string -> Sort.sort -> expr val mk_numeral_int : context -> int -> Sort.sort -> expr end = struct type expr = Expr of AST.ast let c_of_expr e = match e with Expr(a) -> (z3obj_gc a) let nc_of_expr e = match e with Expr(a) -> (z3obj_gnc a) let ptr_of_expr e = match e with Expr(a) -> (z3obj_gno a) let expr_of_ptr : context -> Z3native.ptr -> expr = fun ctx no -> if ast_kind_of_int (Z3native.get_ast_kind (context_gno ctx) no) == QUANTIFIER_AST then Expr(z3_native_object_of_ast_ptr ctx no) else let s = Z3native.get_sort (context_gno ctx) no in let sk = (sort_kind_of_int (Z3native.get_sort_kind (context_gno ctx) s)) in if (Z3native.is_algebraic_number (context_gno ctx) no) then Expr(z3_native_object_of_ast_ptr ctx no) else if (Z3native.is_numeral_ast (context_gno ctx) no) then if (sk == INT_SORT or sk == REAL_SORT or sk == BV_SORT) then Expr(z3_native_object_of_ast_ptr ctx no) else raise (Z3native.Exception "Unsupported numeral object") else Expr(z3_native_object_of_ast_ptr ctx no) let expr_of_ast a = let q = (Z3enums.ast_kind_of_int (Z3native.get_ast_kind (z3obj_gnc a) (z3obj_gno a))) in if (q != Z3enums.APP_AST && q != VAR_AST && q != QUANTIFIER_AST && q != NUMERAL_AST) then raise (Z3native.Exception "Invalid coercion") else Expr(a) let ast_of_expr e = match e with Expr(a) -> a let expr_lton ( a : expr list ) = let f ( e : expr ) = match e with Expr(a) -> (AST.ptr_of_ast a) in Array.of_list (List.map f a) let expr_of_func_app : context -> FuncDecl.func_decl -> expr list -> expr = fun ctx f args -> match f with FuncDecl.FuncDecl(fa) -> let o = Z3native.mk_app (context_gno ctx) (AST.ptr_of_ast fa) (List.length args) (expr_lton args) in expr_of_ptr ctx o let simplify ( x : expr ) ( p : Params.params option ) = match p with | None -> expr_of_ptr (c_of_expr x) (Z3native.simplify (nc_of_expr x) (ptr_of_expr x)) | Some pp -> expr_of_ptr (c_of_expr x) (Z3native.simplify_ex (nc_of_expr x) (ptr_of_expr x) (z3obj_gno pp)) let get_simplify_help ( ctx : context ) = Z3native.simplify_get_help (context_gno ctx) let get_simplify_parameter_descrs ( ctx : context ) = Params.ParamDescrs.param_descrs_of_ptr ctx (Z3native.simplify_get_param_descrs (context_gno ctx)) let get_func_decl ( x : expr ) = FuncDecl.func_decl_of_ptr (c_of_expr x) (Z3native.get_app_decl (nc_of_expr x) (ptr_of_expr x)) let get_bool_value ( x : expr ) = lbool_of_int (Z3native.get_bool_value (nc_of_expr x) (ptr_of_expr x)) let get_num_args ( x : expr ) = Z3native.get_app_num_args (nc_of_expr x) (ptr_of_expr x) let get_args ( x : expr ) = let n = (get_num_args x) in let f i = expr_of_ptr (c_of_expr x) (Z3native.get_app_arg (nc_of_expr x) (ptr_of_expr x) i) in mk_list f n let update ( x : expr ) ( args : expr list ) = if (List.length args <> (get_num_args x)) then raise (Z3native.Exception "Number of arguments does not match") else expr_of_ptr (c_of_expr x) (Z3native.update_term (nc_of_expr x) (ptr_of_expr x) (List.length args) (expr_lton args)) let substitute ( x : expr ) from to_ = if (List.length from) <> (List.length to_) then raise (Z3native.Exception "Argument sizes do not match") else expr_of_ptr (c_of_expr x) (Z3native.substitute (nc_of_expr x) (ptr_of_expr x) (List.length from) (expr_lton from) (expr_lton to_)) let substitute_one ( x : expr ) from to_ = substitute ( x : expr ) [ from ] [ to_ ] let substitute_vars ( x : expr ) to_ = expr_of_ptr (c_of_expr x) (Z3native.substitute_vars (nc_of_expr x) (ptr_of_expr x) (List.length to_) (expr_lton to_)) let translate ( x : expr ) to_ctx = if (c_of_expr x) == to_ctx then x else expr_of_ptr to_ctx (Z3native.translate (nc_of_expr x) (ptr_of_expr x) (context_gno to_ctx)) let to_string ( x : expr ) = Z3native.ast_to_string (nc_of_expr x) (ptr_of_expr x) let is_numeral ( x : expr ) = (Z3native.is_numeral_ast (nc_of_expr x) (ptr_of_expr x)) let is_well_sorted ( x : expr ) = Z3native.is_well_sorted (nc_of_expr x) (ptr_of_expr x) let get_sort ( x : expr ) = sort_of_ptr (c_of_expr x) (Z3native.get_sort (nc_of_expr x) (ptr_of_expr x)) let is_bool ( x : expr ) = (match x with Expr(a) -> (AST.is_expr a)) && (Z3native.is_eq_sort (nc_of_expr x) (Z3native.mk_bool_sort (nc_of_expr x)) (Z3native.get_sort (nc_of_expr x) (ptr_of_expr x))) let is_const ( x : expr ) = (match x with Expr(a) -> (AST.is_expr a)) && (get_num_args x) == 0 && (FuncDecl.get_domain_size (get_func_decl x)) == 0 let is_true ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_TRUE) let is_false ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_FALSE) let is_eq ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_EQ) let is_distinct ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_DISTINCT) let is_ite ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_ITE) let is_and ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_AND) let is_or ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_OR) let is_iff ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_IFF) let is_xor ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_XOR) let is_not ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_NOT) let is_implies ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_IMPLIES) let is_label ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_LABEL) let is_label_lit ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_LABEL_LIT) let is_oeq ( x : expr ) = (FuncDecl.get_decl_kind (get_func_decl x) == OP_OEQ) let mk_const ( ctx : context ) ( name : Symbol.symbol ) ( range : sort ) = expr_of_ptr ctx (Z3native.mk_const (context_gno ctx) (Symbol.gno name) (Sort.gno range)) let mk_const_s ( ctx : context ) ( name : string ) ( range : sort ) = mk_const ctx (Symbol.mk_string ctx name) range let mk_const_f ( ctx : context ) ( f : FuncDecl.func_decl ) = Expr.expr_of_func_app ctx f [] let mk_fresh_const ( ctx : context ) ( prefix : string ) ( range : sort ) = expr_of_ptr ctx (Z3native.mk_fresh_const (context_gno ctx) prefix (Sort.gno range)) let mk_app ( ctx : context ) ( f : FuncDecl.func_decl ) ( args : expr list ) = expr_of_func_app ctx f args let mk_numeral_string ( ctx : context ) ( v : string ) ( ty : sort ) = expr_of_ptr ctx (Z3native.mk_numeral (context_gno ctx) v (Sort.gno ty)) let mk_numeral_int ( ctx : context ) ( v : int ) ( ty : sort ) = expr_of_ptr ctx (Z3native.mk_int (context_gno ctx) v (Sort.gno ty)) end open FuncDecl open Expr module Boolean = struct type bool_sort = BoolSort of Sort.sort type bool_expr = BoolExpr of Expr.expr let bool_expr_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let a = (AST.ast_of_ptr ctx no) in BoolExpr(Expr.Expr(a)) let bool_expr_of_expr e = match e with Expr.Expr(a) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.BOOL_SORT) then raise (Z3native.Exception "Invalid coercion") else BoolExpr(e) let bool_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = BoolSort(sort_of_ptr ctx no) let sort_of_bool_sort s = match s with BoolSort(x) -> x let bool_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.BOOL_SORT) then raise (Z3native.Exception "Invalid coercion") else BoolSort(s) let expr_of_bool_expr e = match e with BoolExpr(x) -> x let gc ( x : bool_expr ) = match x with BoolExpr(e) -> (Expr.c_of_expr e) let gnc ( x : bool_expr ) = match x with BoolExpr(e) -> (Expr.nc_of_expr e) let gno ( x : bool_expr ) = match x with BoolExpr(e) -> (Expr.ptr_of_expr e) let mk_sort ( ctx : context ) = BoolSort(sort_of_ptr ctx (Z3native.mk_bool_sort (context_gno ctx))) let mk_const ( ctx : context ) ( name : Symbol.symbol ) = let s = (match (mk_sort ctx) with BoolSort(q) -> q) in BoolExpr(Expr.mk_const ctx name s) let mk_const_s ( ctx : context ) ( name : string ) = mk_const ctx (Symbol.mk_string ctx name) let mk_true ( ctx : context ) = bool_expr_of_ptr ctx (Z3native.mk_true (context_gno ctx)) let mk_false ( ctx : context ) = bool_expr_of_ptr ctx (Z3native.mk_false (context_gno ctx)) let mk_val ( ctx : context ) ( value : bool ) = if value then mk_true ctx else mk_false ctx let mk_eq ( ctx : context ) ( x : expr ) ( y : expr ) = bool_expr_of_ptr ctx (Z3native.mk_eq (context_gno ctx) (ptr_of_expr x) (ptr_of_expr y)) let mk_distinct ( ctx : context ) ( args : expr list ) = bool_expr_of_ptr ctx (Z3native.mk_distinct (context_gno ctx) (List.length args) (expr_lton args)) let mk_not ( ctx : context ) ( a : bool_expr ) = bool_expr_of_ptr ctx (Z3native.mk_not (context_gno ctx) (gno a)) let mk_ite ( ctx : context ) ( t1 : bool_expr ) ( t2 : bool_expr ) ( t3 : bool_expr ) = bool_expr_of_ptr ctx (Z3native.mk_ite (context_gno ctx) (gno t1) (gno t2) (gno t3)) let mk_iff ( ctx : context ) ( t1 : bool_expr ) ( t2 : bool_expr ) = bool_expr_of_ptr ctx (Z3native.mk_iff (context_gno ctx) (gno t1) (gno t2)) let mk_implies ( ctx : context ) ( t1 : bool_expr ) ( t2 : bool_expr ) = bool_expr_of_ptr ctx (Z3native.mk_implies (context_gno ctx) (gno t1) (gno t2)) let mk_xor ( ctx : context ) ( t1 : bool_expr ) ( t2 : bool_expr ) = bool_expr_of_ptr ctx (Z3native.mk_xor (context_gno ctx) (gno t1) (gno t2)) let mk_and ( ctx : context ) ( args : bool_expr list ) = let f x = (ptr_of_expr (expr_of_bool_expr x)) in bool_expr_of_ptr ctx (Z3native.mk_and (context_gno ctx) (List.length args) (Array.of_list (List.map f args))) let mk_or ( ctx : context ) ( args : bool_expr list ) = let f x = (ptr_of_expr (expr_of_bool_expr x)) in bool_expr_of_ptr ctx (Z3native.mk_or (context_gno ctx) (List.length args) (Array.of_list(List.map f args))) end module Quantifier = struct type quantifier = Quantifier of expr let expr_of_quantifier e = match e with Quantifier(x) -> x let quantifier_of_expr e = match e with Expr.Expr(a) -> let q = (Z3enums.ast_kind_of_int (Z3native.get_ast_kind (z3obj_gnc a) (z3obj_gno a))) in if (q != Z3enums.QUANTIFIER_AST) then raise (Z3native.Exception "Invalid coercion") else Quantifier(e) let gc ( x : quantifier ) = match (x) with Quantifier(e) -> (c_of_expr e) let gnc ( x : quantifier ) = match (x) with Quantifier(e) -> (nc_of_expr e) let gno ( x : quantifier ) = match (x) with Quantifier(e) -> (ptr_of_expr e) module Pattern = struct type pattern = Pattern of ast let ast_of_pattern e = match e with Pattern(x) -> x let pattern_of_ast a = (* CMW: Unchecked ok? *) Pattern(a) let gc ( x : pattern ) = match (x) with Pattern(a) -> (z3obj_gc a) let gnc ( x : pattern ) = match (x) with Pattern(a) -> (z3obj_gnc a) let gno ( x : pattern ) = match (x) with Pattern(a) -> (z3obj_gno a) let get_num_terms ( x : pattern ) = Z3native.get_pattern_num_terms (gnc x) (gno x) let get_terms ( x : pattern ) = let n = (get_num_terms x) in let f i = (expr_of_ptr (gc x) (Z3native.get_pattern (gnc x) (gno x) i)) in mk_list f n let to_string ( x : pattern ) = Z3native.pattern_to_string (gnc x) (gno x) end let get_index ( x : expr ) = if not (AST.is_var (match x with Expr.Expr(a) -> a)) then raise (Z3native.Exception "Term is not a bound variable.") else Z3native.get_index_value (nc_of_expr x) (ptr_of_expr x) let is_universal ( x : quantifier ) = Z3native.is_quantifier_forall (gnc x) (gno x) let is_existential ( x : quantifier ) = not (is_universal x) let get_weight ( x : quantifier ) = Z3native.get_quantifier_weight (gnc x) (gno x) let get_num_patterns ( x : quantifier ) = Z3native.get_quantifier_num_patterns (gnc x) (gno x) let get_patterns ( x : quantifier ) = let n = (get_num_patterns x) in let f i = Pattern.Pattern (z3_native_object_of_ast_ptr (gc x) (Z3native.get_quantifier_pattern_ast (gnc x) (gno x) i)) in mk_list f n let get_num_no_patterns ( x : quantifier ) = Z3native.get_quantifier_num_no_patterns (gnc x) (gno x) let get_no_patterns ( x : quantifier ) = let n = (get_num_patterns x) in let f i = Pattern.Pattern (z3_native_object_of_ast_ptr (gc x) (Z3native.get_quantifier_no_pattern_ast (gnc x) (gno x) i)) in mk_list f n let get_num_bound ( x : quantifier ) = Z3native.get_quantifier_num_bound (gnc x) (gno x) let get_bound_variable_names ( x : quantifier ) = let n = (get_num_bound x) in let f i = (Symbol.create (gc x) (Z3native.get_quantifier_bound_name (gnc x) (gno x) i)) in mk_list f n let get_bound_variable_sorts ( x : quantifier ) = let n = (get_num_bound x) in let f i = (sort_of_ptr (gc x) (Z3native.get_quantifier_bound_sort (gnc x) (gno x) i)) in mk_list f n let get_body ( x : quantifier ) = Boolean.bool_expr_of_ptr (gc x) (Z3native.get_quantifier_body (gnc x) (gno x)) let mk_bound ( ctx : context ) ( index : int ) ( ty : sort ) = expr_of_ptr ctx (Z3native.mk_bound (context_gno ctx) index (Sort.gno ty)) let mk_pattern ( ctx : context ) ( terms : expr list ) = if (List.length terms) == 0 then raise (Z3native.Exception "Cannot create a pattern from zero terms") else Pattern.Pattern(z3_native_object_of_ast_ptr ctx (Z3native.mk_pattern (context_gno ctx) (List.length terms) (expr_lton terms))) let mk_forall ( ctx : context ) ( sorts : sort list ) ( names : Symbol.symbol list ) ( body : expr ) ( weight : int option ) ( patterns : Pattern.pattern list ) ( nopatterns : expr list ) ( quantifier_id : Symbol.symbol option ) ( skolem_id : Symbol.symbol option ) = if (List.length sorts) != (List.length names) then raise (Z3native.Exception "Number of sorts does not match number of names") else if ((List.length nopatterns) == 0 && quantifier_id == None && skolem_id == None) then Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier (context_gno ctx) true (match weight with | None -> 1 | Some(x) -> x) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (List.length sorts) (sort_lton sorts) (Symbol.symbol_lton names) (ptr_of_expr body))) else Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier_ex (context_gno ctx) true (match weight with | None -> 1 | Some(x) -> x) (match quantifier_id with | None -> null | Some(x) -> (Symbol.gno x)) (match skolem_id with | None -> null | Some(x) -> (Symbol.gno x)) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (List.length nopatterns) (expr_lton nopatterns) (List.length sorts) (sort_lton sorts) (Symbol.symbol_lton names) (ptr_of_expr body))) let mk_forall_const ( ctx : context ) ( bound_constants : expr list ) ( body : expr ) ( weight : int option ) ( patterns : Pattern.pattern list ) ( nopatterns : expr list ) ( quantifier_id : Symbol.symbol option ) ( skolem_id : Symbol.symbol option ) = if ((List.length nopatterns) == 0 && quantifier_id == None && skolem_id == None) then Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier_const (context_gno ctx) true (match weight with | None -> 1 | Some(x) -> x) (List.length bound_constants) (expr_lton bound_constants) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (ptr_of_expr body))) else Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier_const_ex (context_gno ctx) true (match weight with | None -> 1 | Some(x) -> x) (match quantifier_id with | None -> null | Some(x) -> (Symbol.gno x)) (match skolem_id with | None -> null | Some(x) -> (Symbol.gno x)) (List.length bound_constants) (expr_lton bound_constants) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (List.length nopatterns) (expr_lton nopatterns) (ptr_of_expr body))) let mk_exists ( ctx : context ) ( sorts : sort list ) ( names : Symbol.symbol list ) ( body : expr ) ( weight : int option ) ( patterns : Pattern.pattern list ) ( nopatterns : expr list ) ( quantifier_id : Symbol.symbol option ) ( skolem_id : Symbol.symbol option ) = if (List.length sorts) != (List.length names) then raise (Z3native.Exception "Number of sorts does not match number of names") else if ((List.length nopatterns) == 0 && quantifier_id == None && skolem_id == None) then Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier (context_gno ctx) false (match weight with | None -> 1 | Some(x) -> x) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (List.length sorts) (sort_lton sorts) (Symbol.symbol_lton names) (ptr_of_expr body))) else Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier_ex (context_gno ctx) false (match weight with | None -> 1 | Some(x) -> x) (match quantifier_id with | None -> null | Some(x) -> (Symbol.gno x)) (match skolem_id with | None -> null | Some(x) -> (Symbol.gno x)) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (List.length nopatterns) (expr_lton nopatterns) (List.length sorts) (sort_lton sorts) (Symbol.symbol_lton names) (ptr_of_expr body))) let mk_exists_const ( ctx : context ) ( bound_constants : expr list ) ( body : expr ) ( weight : int option ) ( patterns : Pattern.pattern list ) ( nopatterns : expr list ) ( quantifier_id : Symbol.symbol option ) ( skolem_id : Symbol.symbol option ) = if ((List.length nopatterns) == 0 && quantifier_id == None && skolem_id == None) then Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier_const (context_gno ctx) false (match weight with | None -> 1 | Some(x) -> x) (List.length bound_constants) (expr_lton bound_constants) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (ptr_of_expr body))) else Quantifier(expr_of_ptr ctx (Z3native.mk_quantifier_const_ex (context_gno ctx) false (match weight with | None -> 1 | Some(x) -> x) (match quantifier_id with | None -> null | Some(x) -> (Symbol.gno x)) (match skolem_id with | None -> null | Some(x) -> (Symbol.gno x)) (List.length bound_constants) (expr_lton bound_constants) (List.length patterns) (let f x = (AST.ptr_of_ast (Pattern.ast_of_pattern x)) in (Array.of_list (List.map f patterns))) (List.length nopatterns) (expr_lton nopatterns) (ptr_of_expr body))) let mk_quantifier ( ctx : context ) ( universal : bool ) ( sorts : sort list ) ( names : Symbol.symbol list ) ( body : expr ) ( weight : int option ) ( patterns : Pattern.pattern list ) ( nopatterns : expr list ) ( quantifier_id : Symbol.symbol option ) ( skolem_id : Symbol.symbol option ) = if (universal) then (mk_forall ctx sorts names body weight patterns nopatterns quantifier_id skolem_id) else (mk_exists ctx sorts names body weight patterns nopatterns quantifier_id skolem_id) let mk_quantifier ( ctx : context ) ( universal : bool ) ( bound_constants : expr list ) ( body : expr ) ( weight : int option ) ( patterns : Pattern.pattern list ) ( nopatterns : expr list ) ( quantifier_id : Symbol.symbol option ) ( skolem_id : Symbol.symbol option ) = if (universal) then mk_forall_const ctx bound_constants body weight patterns nopatterns quantifier_id skolem_id else mk_exists_const ctx bound_constants body weight patterns nopatterns quantifier_id skolem_id end module Array_ = struct type array_sort = ArraySort of sort type array_expr = ArrayExpr of expr let array_expr_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let e = (expr_of_ptr ctx no) in ArrayExpr(e) let array_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let s = (sort_of_ptr ctx no) in ArraySort(s) let sort_of_array_sort s = match s with ArraySort(x) -> x let array_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.ARRAY_SORT) then raise (Z3native.Exception "Invalid coercion") else ArraySort(s) let array_expr_of_expr e = match e with Expr(a) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.ARRAY_SORT) then raise (Z3native.Exception "Invalid coercion") else ArrayExpr(e) let expr_of_array_expr e = match e with ArrayExpr(x) -> x let sgc ( x : array_sort ) = match (x) with ArraySort(Sort(s)) -> (z3obj_gc s) let sgnc ( x : array_sort ) = match (x) with ArraySort(Sort(s)) -> (z3obj_gnc s) let sgno ( x : array_sort ) = match (x) with ArraySort(Sort(s)) -> (z3obj_gno s) let egc ( x : array_expr ) = match (x) with ArrayExpr(Expr(e)) -> (z3obj_gc e) let egnc ( x : array_expr ) = match (x) with ArrayExpr(Expr(e)) -> (z3obj_gnc e) let egno ( x : array_expr ) = match (x) with ArrayExpr(Expr(e)) -> (z3obj_gno e) let mk_sort ( ctx : context ) ( domain : sort ) ( range : sort ) = array_sort_of_ptr ctx (Z3native.mk_array_sort (context_gno ctx) (Sort.gno domain) (Sort.gno range)) let is_store ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_STORE) let is_select ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SELECT) let is_constant_array ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_CONST_ARRAY) let is_default_array ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ARRAY_DEFAULT) let is_array_map ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ARRAY_MAP) let is_as_array ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_AS_ARRAY) let is_array ( x : expr ) = (Z3native.is_app (nc_of_expr x) (ptr_of_expr x)) && ((sort_kind_of_int (Z3native.get_sort_kind (nc_of_expr x) (Z3native.get_sort (nc_of_expr x) (ptr_of_expr x)))) == ARRAY_SORT) let get_domain ( x : array_sort ) = Sort.sort_of_ptr (sgc x) (Z3native.get_array_sort_domain (sgnc x) (sgno x)) let get_range ( x : array_sort ) = Sort.sort_of_ptr (sgc x) (Z3native.get_array_sort_range (sgnc x) (sgno x)) let mk_const ( ctx : context ) ( name : Symbol.symbol ) ( domain : sort ) ( range : sort ) = ArrayExpr(Expr.mk_const ctx name (match (mk_sort ctx domain range) with ArraySort(s) -> s)) let mk_const_s ( ctx : context ) ( name : string ) ( domain : sort ) ( range : sort ) = mk_const ctx (Symbol.mk_string ctx name) domain range let mk_select ( ctx : context ) ( a : array_expr ) ( i : expr ) = array_expr_of_ptr ctx (Z3native.mk_select (context_gno ctx) (egno a) (ptr_of_expr i)) let mk_store ( ctx : context ) ( a : array_expr ) ( i : expr ) ( v : expr ) = array_expr_of_ptr ctx (Z3native.mk_store (context_gno ctx) (egno a) (ptr_of_expr i) (ptr_of_expr v)) let mk_const_array ( ctx : context ) ( domain : sort ) ( v : expr ) = array_expr_of_ptr ctx (Z3native.mk_const_array (context_gno ctx) (Sort.gno domain) (ptr_of_expr v)) let mk_map ( ctx : context ) ( f : func_decl ) ( args : array_expr list ) = let m x = (ptr_of_expr (expr_of_array_expr x)) in array_expr_of_ptr ctx (Z3native.mk_map (context_gno ctx) (FuncDecl.gno f) (List.length args) (Array.of_list (List.map m args))) let mk_term_array ( ctx : context ) ( arg : array_expr ) = array_expr_of_ptr ctx (Z3native.mk_array_default (context_gno ctx) (egno arg)) end module Set = struct type set_sort = SetSort of sort let set_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let s = (sort_of_ptr ctx no) in SetSort(s) let sort_of_set_sort s = match s with SetSort(x) -> x let mk_sort ( ctx : context ) ( ty : sort ) = set_sort_of_ptr ctx (Z3native.mk_set_sort (context_gno ctx) (Sort.gno ty)) let is_union ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SET_UNION) let is_intersect ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SET_INTERSECT) let is_difference ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SET_DIFFERENCE) let is_complement ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SET_COMPLEMENT) let is_subset ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SET_SUBSET) let mk_empty ( ctx : context ) ( domain : sort ) = (expr_of_ptr ctx (Z3native.mk_empty_set (context_gno ctx) (Sort.gno domain))) let mk_full ( ctx : context ) ( domain : sort ) = expr_of_ptr ctx (Z3native.mk_full_set (context_gno ctx) (Sort.gno domain)) let mk_set_add ( ctx : context ) ( set : expr ) ( element : expr ) = expr_of_ptr ctx (Z3native.mk_set_add (context_gno ctx) (ptr_of_expr set) (ptr_of_expr element)) let mk_del ( ctx : context ) ( set : expr ) ( element : expr ) = expr_of_ptr ctx (Z3native.mk_set_del (context_gno ctx) (ptr_of_expr set) (ptr_of_expr element)) let mk_union ( ctx : context ) ( args : expr list ) = expr_of_ptr ctx (Z3native.mk_set_union (context_gno ctx) (List.length args) (expr_lton args)) let mk_intersection ( ctx : context ) ( args : expr list ) = expr_of_ptr ctx (Z3native.mk_set_intersect (context_gno ctx) (List.length args) (expr_lton args)) let mk_difference ( ctx : context ) ( arg1 : expr ) ( arg2 : expr ) = expr_of_ptr ctx (Z3native.mk_set_difference (context_gno ctx) (ptr_of_expr arg1) (ptr_of_expr arg2)) let mk_complement ( ctx : context ) ( arg : expr ) = expr_of_ptr ctx (Z3native.mk_set_complement (context_gno ctx) (ptr_of_expr arg)) let mk_membership ( ctx : context ) ( elem : expr ) ( set : expr ) = expr_of_ptr ctx (Z3native.mk_set_member (context_gno ctx) (ptr_of_expr elem) (ptr_of_expr set)) let mk_subset ( ctx : context ) ( arg1 : expr ) ( arg2 : expr ) = expr_of_ptr ctx (Z3native.mk_set_subset (context_gno ctx) (ptr_of_expr arg1) (ptr_of_expr arg2)) end module FiniteDomain = struct type finite_domain_sort = FiniteDomainSort of sort let sort_of_finite_domain_sort s = match s with FiniteDomainSort(x) -> x let finite_domain_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.FINITE_DOMAIN_SORT) then raise (Z3native.Exception "Invalid coercion") else FiniteDomainSort(s) let gc ( x : finite_domain_sort ) = match (x) with FiniteDomainSort(Sort(s)) -> (z3obj_gc s) let gnc ( x : finite_domain_sort ) = match (x) with FiniteDomainSort(Sort(s)) -> (z3obj_gnc s) let gno ( x : finite_domain_sort ) = match (x) with FiniteDomainSort(Sort(s))-> (z3obj_gno s) let mk_sort ( ctx : context ) ( name : Symbol.symbol ) ( size : int ) = let s = (sort_of_ptr ctx (Z3native.mk_finite_domain_sort (context_gno ctx) (Symbol.gno name) size)) in FiniteDomainSort(s) let mk_sort_s ( ctx : context ) ( name : string ) ( size : int ) = mk_sort ctx (Symbol.mk_string ctx name) size let is_finite_domain ( x : expr ) = let nc = (nc_of_expr x) in (Z3native.is_app (nc_of_expr x) (ptr_of_expr x)) && (sort_kind_of_int (Z3native.get_sort_kind nc (Z3native.get_sort nc (ptr_of_expr x))) == FINITE_DOMAIN_SORT) let is_lt ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_FD_LT) let get_size ( x : finite_domain_sort ) = let (r, v) = (Z3native.get_finite_domain_sort_size (gnc x) (gno x)) in if r then v else raise (Z3native.Exception "Conversion failed.") end module Relation = struct type relation_sort = RelationSort of sort let sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let s = (sort_of_ptr ctx no) in RelationSort(s) let sort_of_relation_sort s = match s with RelationSort(x) -> x let relation_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.RELATION_SORT) then raise (Z3native.Exception "Invalid coercion") else RelationSort(s) let gc ( x : relation_sort ) = match (x) with RelationSort(Sort(s)) -> (z3obj_gc s) let gnc ( x : relation_sort ) = match (x) with RelationSort(Sort(s)) -> (z3obj_gnc s) let gno ( x : relation_sort ) = match (x) with RelationSort(Sort(s))-> (z3obj_gno s) let is_relation ( x : expr ) = let nc = (nc_of_expr x) in ((Z3native.is_app (nc_of_expr x) (ptr_of_expr x)) && (sort_kind_of_int (Z3native.get_sort_kind nc (Z3native.get_sort nc (ptr_of_expr x))) == RELATION_SORT)) let is_store ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_STORE) let is_empty ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_EMPTY) let is_is_empty ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_IS_EMPTY) let is_join ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_JOIN) let is_union ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_UNION) let is_widen ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_WIDEN) let is_project ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_PROJECT) let is_filter ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_FILTER) let is_negation_filter ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_NEGATION_FILTER) let is_rename ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_RENAME) let is_complement ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_COMPLEMENT) let is_select ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_SELECT) let is_clone ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_RA_CLONE) let get_arity ( x : relation_sort ) = Z3native.get_relation_arity (gnc x) (gno x) let get_column_sorts ( x : relation_sort ) = let n = get_arity x in let f i = (sort_of_ptr (gc x) (Z3native.get_relation_column (gnc x) (gno x) i)) in mk_list f n end module Datatype = struct type datatype_sort = DatatypeSort of sort type datatype_expr = DatatypeExpr of expr let sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let s = (sort_of_ptr ctx no) in DatatypeSort(s) let sort_of_datatype_sort s = match s with DatatypeSort(x) -> x let datatype_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.DATATYPE_SORT) then raise (Z3native.Exception "Invalid coercion") else DatatypeSort(s) let datatype_expr_of_expr e = match e with Expr(a) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.DATATYPE_SORT) then raise (Z3native.Exception "Invalid coercion") else DatatypeExpr(e) let expr_of_datatype_expr e = match e with DatatypeExpr(x) -> x let sgc ( x : datatype_sort ) = match (x) with DatatypeSort(Sort(s)) -> (z3obj_gc s) let sgnc ( x : datatype_sort ) = match (x) with DatatypeSort(Sort(s)) -> (z3obj_gnc s) let sgno ( x : datatype_sort ) = match (x) with DatatypeSort(Sort(s))-> (z3obj_gno s) module Constructor = struct type constructor = z3_native_object let _sizes = Hashtbl.create 0 let create ( ctx : context ) ( name : Symbol.symbol ) ( recognizer : Symbol.symbol ) ( field_names : Symbol.symbol list ) ( sorts : sort list ) ( sort_refs : int list ) = let n = (List.length field_names) in if n != (List.length sorts) then raise (Z3native.Exception "Number of field names does not match number of sorts") else if n != (List.length sort_refs) then raise (Z3native.Exception "Number of field names does not match number of sort refs") else let ptr = (Z3native.mk_constructor (context_gno ctx) (Symbol.gno name) (Symbol.gno recognizer) n (Symbol.symbol_lton field_names) (sort_lton sorts) (Array.of_list sort_refs)) in let no : constructor = { m_ctx = ctx ; m_n_obj = null ; inc_ref = z3obj_nil_ref ; dec_ref = z3obj_nil_ref} in (z3obj_sno no ctx ptr) ; (z3obj_create no) ; let f = fun o -> Z3native.del_constructor (z3obj_gnc o) (z3obj_gno o) in Gc.finalise f no ; Hashtbl.add _sizes no n ; no let get_num_fields ( x : constructor ) = Hashtbl.find _sizes x let get_constructor_decl ( x : constructor ) = let (a, _, _) = (Z3native.query_constructor (z3obj_gnc x) (z3obj_gno x) (get_num_fields x)) in func_decl_of_ptr (z3obj_gc x) a let get_tester_decl ( x : constructor ) = let (_, b, _) = (Z3native.query_constructor (z3obj_gnc x) (z3obj_gno x) (get_num_fields x)) in func_decl_of_ptr (z3obj_gc x) b let get_accessor_decls ( x : constructor ) = let (_, _, c) = (Z3native.query_constructor (z3obj_gnc x) (z3obj_gno x) (get_num_fields x)) in let f i = func_decl_of_ptr (z3obj_gc x) (Array.get c i) in mk_list f (Array.length c) end module ConstructorList = struct type constructor_list = z3_native_object let create ( ctx : context ) ( c : Constructor.constructor list ) = let res : constructor_list = { m_ctx = ctx ; m_n_obj = null ; inc_ref = z3obj_nil_ref ; dec_ref = z3obj_nil_ref} in let f x =(z3obj_gno x) in (z3obj_sno res ctx (Z3native.mk_constructor_list (context_gno ctx) (List.length c) (Array.of_list (List.map f c)))) ; (z3obj_create res) ; let f = fun o -> Z3native.del_constructor_list (z3obj_gnc o) (z3obj_gno o) in Gc.finalise f res; res end let mk_constructor ( ctx : context ) ( name : Symbol.symbol ) ( recognizer : Symbol.symbol ) ( field_names : Symbol.symbol list ) ( sorts : sort list ) ( sort_refs : int list ) = Constructor.create ctx name recognizer field_names sorts sort_refs let mk_constructor_s ( ctx : context ) ( name : string ) ( recognizer : Symbol.symbol ) ( field_names : Symbol.symbol list ) ( sorts : sort list ) ( sort_refs : int list ) = mk_constructor ctx (Symbol.mk_string ctx name) recognizer field_names sorts sort_refs let mk_sort ( ctx : context ) ( name : Symbol.symbol ) ( constructors : Constructor.constructor list ) = let f x = (z3obj_gno x) in let (x,_) = (Z3native.mk_datatype (context_gno ctx) (Symbol.gno name) (List.length constructors) (Array.of_list (List.map f constructors))) in sort_of_ptr ctx x let mk_sort_s ( ctx : context ) ( name : string ) ( constructors : Constructor.constructor list ) = mk_sort ctx (Symbol.mk_string ctx name) constructors let mk_sorts ( ctx : context ) ( names : Symbol.symbol list ) ( c : Constructor.constructor list list ) = let n = (List.length names) in let f e = (AST.ptr_of_ast (ConstructorList.create ctx e)) in let cla = (Array.of_list (List.map f c)) in let (r, a) = (Z3native.mk_datatypes (context_gno ctx) n (Symbol.symbol_lton names) cla) in let g i = (sort_of_ptr ctx (Array.get r i)) in mk_list g (Array.length r) let mk_sorts_s ( ctx : context ) ( names : string list ) ( c : Constructor.constructor list list ) = mk_sorts ctx ( let f e = (Symbol.mk_string ctx e) in List.map f names ) c let get_num_constructors ( x : datatype_sort ) = Z3native.get_datatype_sort_num_constructors (sgnc x) (sgno x) let get_constructors ( x : datatype_sort ) = let n = (get_num_constructors x) in let f i = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor (sgnc x) (sgno x) i) in mk_list f n let get_recognizers ( x : datatype_sort ) = let n = (get_num_constructors x) in let f i = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_recognizer (sgnc x) (sgno x) i) in mk_list f n let get_accessors ( x : datatype_sort ) = let n = (get_num_constructors x) in let f i = ( let fd = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor (sgnc x) (sgno x) i) in let ds = Z3native.get_domain_size (FuncDecl.gnc fd) (FuncDecl.gno fd) in let g j = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor_accessor (sgnc x) (sgno x) i j) in mk_list g ds ) in mk_list f n end module Enumeration = struct type enum_sort = EnumSort of sort let sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) ( cdecls : Z3native.z3_func_decl list ) ( tdecls : Z3native.z3_func_decl list ) = let s = (sort_of_ptr ctx no) in let res = EnumSort(s) in res let sort_of_enum_sort s = match s with EnumSort(x) -> x let sgc ( x : enum_sort ) = match (x) with EnumSort(Sort(s)) -> (z3obj_gc s) let sgnc ( x : enum_sort ) = match (x) with EnumSort(Sort(s)) -> (z3obj_gnc s) let sgno ( x : enum_sort ) = match (x) with EnumSort(Sort(s))-> (z3obj_gno s) let mk_sort ( ctx : context ) ( name : Symbol.symbol ) ( enum_names : Symbol.symbol list ) = let (a, b, c) = (Z3native.mk_enumeration_sort (context_gno ctx) (Symbol.gno name) (List.length enum_names) (Symbol.symbol_lton enum_names)) in sort_of_ptr ctx a (list_of_array b) (list_of_array c) let mk_sort_s ( ctx : context ) ( name : string ) ( enum_names : string list ) = mk_sort ctx (Symbol.mk_string ctx name) (Symbol.mk_strings ctx enum_names) let get_const_decls ( x : enum_sort ) = let n = Z3native.get_datatype_sort_num_constructors (sgnc x) (sgno x) in let f i = (func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor (sgnc x) (sgno x) i)) in mk_list f n let get_tester_decls ( x : enum_sort ) = let n = Z3native.get_datatype_sort_num_constructors (sgnc x) (sgno x) in let f i = (func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_recognizer (sgnc x) (sgno x) i)) in mk_list f n end module List_ = struct type list_sort = ListSort of sort let sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) ( nildecl : Z3native.ptr ) ( is_nildecl : Z3native.ptr ) ( consdecl : Z3native.ptr ) ( is_consdecl : Z3native.ptr ) ( headdecl : Z3native.ptr ) ( taildecl : Z3native.ptr ) = let s = (sort_of_ptr ctx no) in let res = ListSort(s) in res let sort_of_list_sort s = match s with ListSort(x) -> x let sgc ( x : list_sort ) = match (x) with ListSort(Sort(s)) -> (z3obj_gc s) let sgnc ( x : list_sort ) = match (x) with ListSort(Sort(s)) -> (z3obj_gnc s) let sgno ( x : list_sort ) = match (x) with ListSort(Sort(s))-> (z3obj_gno s) let mk_sort ( ctx : context ) ( name : Symbol.symbol ) ( elem_sort : sort ) = let (r, a, b, c, d, e, f) = (Z3native.mk_list_sort (context_gno ctx) (Symbol.gno name) (Sort.gno elem_sort)) in sort_of_ptr ctx r a b c d e f let mk_list_s ( ctx : context ) (name : string) elem_sort = mk_sort ctx (Symbol.mk_string ctx name) elem_sort let get_nil_decl ( x : list_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor (sgnc x) (sgno x) 0) let get_is_nil_decl ( x : list_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_recognizer (sgnc x) (sgno x) 0) let get_cons_decl ( x : list_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor (sgnc x) (sgno x) 1) let get_is_cons_decl ( x : list_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_recognizer (sgnc x) (sgno x) 1) let get_head_decl ( x : list_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor_accessor (sgnc x) (sgno x) 1 0) let get_tail_decl ( x : list_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_datatype_sort_constructor_accessor (sgnc x) (sgno x) 1 1) let nil ( x : list_sort ) = expr_of_func_app (sgc x) (get_nil_decl x) [] end module Tuple = struct type tuple_sort = TupleSort of sort let sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = let s = (sort_of_ptr ctx no) in TupleSort(s) let sort_of_tuple_sort s = match s with TupleSort(x) -> x let sgc ( x : tuple_sort ) = match (x) with TupleSort(Sort(s)) -> (z3obj_gc s) let sgnc ( x : tuple_sort ) = match (x) with TupleSort(Sort(s)) -> (z3obj_gnc s) let sgno ( x : tuple_sort ) = match (x) with TupleSort(Sort(s))-> (z3obj_gno s) let mk_sort ( ctx : context ) ( name : Symbol.symbol ) ( field_names : Symbol.symbol list ) ( field_sorts : sort list ) = let (r, _, _) = (Z3native.mk_tuple_sort (context_gno ctx) (Symbol.gno name) (List.length field_names) (Symbol.symbol_lton field_names) (sort_lton field_sorts)) in sort_of_ptr ctx r let get_mk_decl ( x : tuple_sort ) = func_decl_of_ptr (sgc x) (Z3native.get_tuple_sort_mk_decl (sgnc x) (sgno x)) let get_num_fields ( x : tuple_sort ) = Z3native.get_tuple_sort_num_fields (sgnc x) (sgno x) let get_field_decls ( x : tuple_sort ) = let n = get_num_fields x in let f i = func_decl_of_ptr (sgc x) (Z3native.get_tuple_sort_field_decl (sgnc x) (sgno x) i) in mk_list f n end module rec Arithmetic : sig type arith_sort = ArithSort of Sort.sort type arith_expr = ArithExpr of Expr.expr val sort_of_arith_sort : arith_sort -> Sort.sort val arith_sort_of_sort : Sort.sort -> arith_sort val expr_of_arith_expr : arith_expr -> Expr.expr val arith_expr_of_expr : Expr.expr -> arith_expr module rec Integer : sig type int_sort = IntSort of arith_sort type int_expr = IntExpr of arith_expr type int_num = IntNum of int_expr val int_expr_of_ptr : context -> Z3native.ptr -> int_expr val int_num_of_ptr : context -> Z3native.ptr -> int_num val arith_sort_of_int_sort : Integer.int_sort -> arith_sort val int_sort_of_arith_sort : arith_sort -> int_sort val arith_expr_of_int_expr : int_expr -> arith_expr val int_expr_of_int_num : int_num -> int_expr val int_expr_of_arith_expr : arith_expr -> int_expr val int_num_of_int_expr : int_expr -> int_num val mk_sort : context -> int_sort val get_int : int_num -> int val to_string : int_num -> string val mk_int_const : context -> Symbol.symbol -> int_expr val mk_int_const_s : context -> string -> int_expr val mk_mod : context -> int_expr -> int_expr -> int_expr val mk_rem : context -> int_expr -> int_expr -> int_expr val mk_int_numeral_s : context -> string -> int_num val mk_int_numeral_i : context -> int -> int_num val mk_int2real : context -> int_expr -> Real.real_expr val mk_int2bv : context -> int -> int_expr -> BitVector.bitvec_expr end and Real : sig type real_sort = RealSort of arith_sort type real_expr = RealExpr of arith_expr type rat_num = RatNum of real_expr val real_expr_of_ptr : context -> Z3native.ptr -> real_expr val rat_num_of_ptr : context -> Z3native.ptr -> rat_num val arith_sort_of_real_sort : Arithmetic.Real.real_sort -> Arithmetic.arith_sort val real_sort_of_arith_sort : Arithmetic.arith_sort -> Arithmetic.Real.real_sort val arith_expr_of_real_expr : Arithmetic.Real.real_expr -> Arithmetic.arith_expr val real_expr_of_rat_num : Arithmetic.Real.rat_num -> Arithmetic.Real.real_expr val real_expr_of_arith_expr : Arithmetic.arith_expr -> Arithmetic.Real.real_expr val rat_num_of_real_expr : Arithmetic.Real.real_expr -> Arithmetic.Real.rat_num val mk_sort : context -> real_sort val get_numerator : rat_num -> Integer.int_num val get_denominator : rat_num -> Integer.int_num val to_decimal_string : rat_num -> int -> string val to_string : rat_num -> string val mk_real_const : context -> Symbol.symbol -> real_expr val mk_real_const_s : context -> string -> real_expr val mk_numeral_nd : context -> int -> int -> rat_num val mk_numeral_s : context -> string -> rat_num val mk_numeral_i : context -> int -> rat_num val mk_is_integer : context -> real_expr -> Boolean.bool_expr val mk_real2int : context -> real_expr -> Integer.int_expr end and AlgebraicNumber : sig type algebraic_num = AlgebraicNum of arith_expr val arith_expr_of_algebraic_num : algebraic_num -> arith_expr val algebraic_num_of_arith_expr : arith_expr -> algebraic_num val to_upper : algebraic_num -> int -> Real.rat_num val to_lower : algebraic_num -> int -> Real.rat_num val to_decimal_string : algebraic_num -> int -> string val to_string : algebraic_num -> string end val is_int : Expr.expr -> bool val is_arithmetic_numeral : Expr.expr -> bool val is_le : Expr.expr -> bool val is_ge : Expr.expr -> bool val is_lt : Expr.expr -> bool val is_gt : Expr.expr -> bool val is_add : Expr.expr -> bool val is_sub : Expr.expr -> bool val is_uminus : Expr.expr -> bool val is_mul : Expr.expr -> bool val is_div : Expr.expr -> bool val is_idiv : Expr.expr -> bool val is_remainder : Expr.expr -> bool val is_modulus : Expr.expr -> bool val is_inttoreal : Expr.expr -> bool val is_real_to_int : Expr.expr -> bool val is_real_is_int : Expr.expr -> bool val is_real : Expr.expr -> bool val is_int_numeral : Expr.expr -> bool val is_rat_num : Expr.expr -> bool val is_algebraic_number : Expr.expr -> bool val mk_add : context -> arith_expr list -> arith_expr val mk_mul : context -> arith_expr list -> arith_expr val mk_sub : context -> arith_expr list -> arith_expr val mk_unary_minus : context -> arith_expr -> arith_expr val mk_div : context -> arith_expr -> arith_expr -> arith_expr val mk_power : context -> arith_expr -> arith_expr -> arith_expr val mk_lt : context -> arith_expr -> arith_expr -> Boolean.bool_expr val mk_le : context -> arith_expr -> arith_expr -> Boolean.bool_expr val mk_gt : context -> arith_expr -> arith_expr -> Boolean.bool_expr val mk_ge : context -> arith_expr -> arith_expr -> Boolean.bool_expr end = struct type arith_sort = ArithSort of sort type arith_expr = ArithExpr of expr let arith_expr_of_expr e = match e with Expr(a) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.INT_SORT && q != Z3enums.REAL_SORT) then raise (Z3native.Exception "Invalid coercion") else ArithExpr(e) let arith_expr_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = arith_expr_of_expr (expr_of_ptr ctx no) let sort_of_arith_sort s = match s with ArithSort(x) -> x let expr_of_arith_expr e = match e with ArithExpr(x) -> x let arith_sort_of_sort s = match s with Sort(a) -> let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) in if (q != Z3enums.INT_SORT && q != Z3enums.REAL_SORT) then raise (Z3native.Exception "Invalid coercion") else ArithSort(s) let arith_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = arith_sort_of_sort (sort_of_ptr ctx no) let sgc ( x : arith_sort ) = match (x) with ArithSort(Sort(s)) -> (z3obj_gc s) let sgnc ( x : arith_sort ) = match (x) with ArithSort(Sort(s)) -> (z3obj_gnc s) let sgno ( x : arith_sort ) = match (x) with ArithSort(Sort(s)) -> (z3obj_gno s) let egc ( x : arith_expr ) = match (x) with ArithExpr(e) -> (c_of_expr e) let egnc ( x : arith_expr ) = match (x) with ArithExpr(e) -> (nc_of_expr e) let egno ( x : arith_expr ) = match (x) with ArithExpr(e) -> (ptr_of_expr e) module rec Integer : sig type int_sort = IntSort of arith_sort type int_expr = IntExpr of arith_expr type int_num = IntNum of int_expr val int_expr_of_ptr : context -> Z3native.ptr -> int_expr val int_num_of_ptr : context -> Z3native.ptr -> int_num val arith_sort_of_int_sort : Integer.int_sort -> arith_sort val int_sort_of_arith_sort : arith_sort -> int_sort val arith_expr_of_int_expr : int_expr -> arith_expr val int_expr_of_int_num : int_num -> int_expr val int_expr_of_arith_expr : arith_expr -> int_expr val int_num_of_int_expr : int_expr -> int_num val mk_sort : context -> int_sort val get_int : int_num -> int val to_string : int_num -> string val mk_int_const : context -> Symbol.symbol -> int_expr val mk_int_const_s : context -> string -> int_expr val mk_mod : context -> int_expr -> int_expr -> int_expr val mk_rem : context -> int_expr -> int_expr -> int_expr val mk_int_numeral_s : context -> string -> int_num val mk_int_numeral_i : context -> int -> int_num val mk_int2real : context -> int_expr -> Real.real_expr val mk_int2bv : context -> int -> int_expr -> BitVector.bitvec_expr end = struct type int_sort = IntSort of arith_sort type int_expr = IntExpr of arith_expr type int_num = IntNum of int_expr let int_expr_of_arith_expr e = match e with ArithExpr(Expr(a)) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.INT_SORT) then raise (Z3native.Exception "Invalid coercion") else IntExpr(e) let int_expr_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = int_expr_of_arith_expr (arith_expr_of_expr (Expr.expr_of_ptr ctx no)) let int_num_of_int_expr e = match e with IntExpr(ArithExpr(Expr(a))) -> if (not (Z3native.is_numeral_ast (z3obj_gnc a) (z3obj_gno a))) then raise (Z3native.Exception "Invalid coercion") else IntNum(e) let int_num_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = int_num_of_int_expr (int_expr_of_ptr ctx no) let arith_sort_of_int_sort s = match s with IntSort(x) -> x let arith_expr_of_int_expr e = match e with IntExpr(x) -> x let int_expr_of_int_num e = match e with IntNum(x) -> x let int_sort_of_arith_sort s = match s with ArithSort(Sort(a)) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.INT_SORT) then raise (Z3native.Exception "Invalid coercion") else IntSort(s) let int_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = int_sort_of_arith_sort (arith_sort_of_sort (Sort.sort_of_ptr ctx no)) let sgc ( x : int_sort ) = match (x) with IntSort(s) -> (sgc s) let sgnc ( x : int_sort ) = match (x) with IntSort(s) -> (sgnc s) let sgno ( x : int_sort ) = match (x) with IntSort(s) -> (sgno s) let egc ( x : int_expr ) = match (x) with IntExpr(e) -> (egc e) let egnc ( x : int_expr ) = match (x) with IntExpr(e) -> (egnc e) let egno ( x : int_expr ) = match (x) with IntExpr(e) -> (egno e) let ngc ( x : int_num ) = match (x) with IntNum(e) -> (egc e) let ngnc ( x : int_num ) = match (x) with IntNum(e) -> (egnc e) let ngno ( x : int_num ) = match (x) with IntNum(e) -> (egno e) let mk_sort ( ctx : context ) = int_sort_of_ptr ctx (Z3native.mk_int_sort (context_gno ctx)) let get_int ( x : int_num ) = let (r, v) = Z3native.get_numeral_int (ngnc x) (ngno x) in if r then v else raise (Z3native.Exception "Conversion failed.") let to_string ( x : int_num ) = Z3native.get_numeral_string (ngnc x) (ngno x) let mk_int_const ( ctx : context ) ( name : Symbol.symbol ) = IntExpr(ArithExpr(Expr.mk_const ctx name (match (mk_sort ctx) with IntSort(ArithSort(s)) -> s))) let mk_int_const_s ( ctx : context ) ( name : string ) = mk_int_const ctx (Symbol.mk_string ctx name) let mk_mod ( ctx : context ) ( t1 : int_expr ) ( t2 : int_expr ) = int_expr_of_ptr ctx (Z3native.mk_mod (context_gno ctx) (egno t1) (egno t2)) let mk_rem ( ctx : context ) ( t1 : int_expr ) ( t2 : int_expr ) = int_expr_of_ptr ctx (Z3native.mk_rem (context_gno ctx) (egno t1) (egno t2)) let mk_int_numeral_s ( ctx : context ) ( v : string ) = int_num_of_ptr ctx (Z3native.mk_numeral (context_gno ctx) v (sgno (mk_sort ctx))) let mk_int_numeral_i ( ctx : context ) ( v : int ) = int_num_of_ptr ctx (Z3native.mk_int (context_gno ctx) v (sgno (mk_sort ctx))) let mk_int2real ( ctx : context ) ( t : int_expr ) = Real.real_expr_of_arith_expr (arith_expr_of_expr (Expr.expr_of_ptr ctx (Z3native.mk_int2real (context_gno ctx) (egno t)))) let mk_int2bv ( ctx : context ) ( n : int ) ( t : int_expr ) = BitVector.bitvec_expr_of_expr (Expr.expr_of_ptr ctx (Z3native.mk_int2bv (context_gno ctx) n (egno t))) end and Real : sig type real_sort = RealSort of arith_sort type real_expr = RealExpr of arith_expr type rat_num = RatNum of real_expr val real_expr_of_ptr : context -> Z3native.ptr -> real_expr val rat_num_of_ptr : context -> Z3native.ptr -> rat_num val arith_sort_of_real_sort : real_sort -> arith_sort val real_sort_of_arith_sort : arith_sort -> real_sort val arith_expr_of_real_expr : real_expr -> arith_expr val real_expr_of_rat_num : rat_num -> real_expr val real_expr_of_arith_expr : arith_expr -> real_expr val rat_num_of_real_expr : real_expr -> rat_num val mk_sort : context -> real_sort val get_numerator : rat_num -> Integer.int_num val get_denominator : rat_num -> Integer.int_num val to_decimal_string : rat_num -> int -> string val to_string : rat_num -> string val mk_real_const : context -> Symbol.symbol -> real_expr val mk_real_const_s : context -> string -> real_expr val mk_numeral_nd : context -> int -> int -> rat_num val mk_numeral_s : context -> string -> rat_num val mk_numeral_i : context -> int -> rat_num val mk_is_integer : context -> real_expr -> Boolean.bool_expr val mk_real2int : context -> real_expr -> Integer.int_expr end = struct type real_sort = RealSort of arith_sort type real_expr = RealExpr of arith_expr type rat_num = RatNum of real_expr let arith_sort_of_real_sort s = match s with RealSort(x) -> x let arith_expr_of_real_expr e = match e with RealExpr(x) -> x let real_expr_of_rat_num e = match e with RatNum(x) -> x let real_expr_of_arith_expr e = match e with ArithExpr(Expr(a)) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.REAL_SORT) then raise (Z3native.Exception "Invalid coercion") else RealExpr(e) let real_expr_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = real_expr_of_arith_expr (arith_expr_of_expr (Expr.expr_of_ptr ctx no)) let rat_num_of_real_expr e = match e with RealExpr(ArithExpr(Expr(a))) -> if (not (Z3native.is_numeral_ast (z3obj_gnc a) (z3obj_gno a))) then raise (Z3native.Exception "Invalid coercion") else RatNum(e) let rat_num_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = rat_num_of_real_expr (real_expr_of_ptr ctx no) let real_sort_of_arith_sort s = match s with ArithSort(Sort(a)) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.REAL_SORT) then raise (Z3native.Exception "Invalid coercion") else RealSort(s) let real_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = real_sort_of_arith_sort (arith_sort_of_sort (sort_of_ptr ctx no)) let sgc ( x : real_sort ) = match (x) with RealSort(s) -> (sgc s) let sgnc ( x : real_sort ) = match (x) with RealSort(s) -> (sgnc s) let sgno ( x : real_sort ) = match (x) with RealSort(s) -> (sgno s) let egc ( x : real_expr ) = match (x) with RealExpr(e) -> (egc e) let egnc ( x : real_expr ) = match (x) with RealExpr(e) -> (egnc e) let egno ( x : real_expr ) = match (x) with RealExpr(e) -> (egno e) let ngc ( x : rat_num ) = match (x) with RatNum(e) -> (egc e) let ngnc ( x : rat_num ) = match (x) with RatNum(e) -> (egnc e) let ngno ( x : rat_num ) = match (x) with RatNum(e) -> (egno e) let mk_sort ( ctx : context ) = real_sort_of_ptr ctx (Z3native.mk_real_sort (context_gno ctx)) let get_numerator ( x : rat_num ) = Integer.int_num_of_ptr (ngc x) (Z3native.get_numerator (ngnc x) (ngno x)) let get_denominator ( x : rat_num ) = Integer.int_num_of_ptr (ngc x) (Z3native.get_denominator (ngnc x) (ngno x)) let to_decimal_string ( x : rat_num ) ( precision : int ) = Z3native.get_numeral_decimal_string (ngnc x) (ngno x) precision let to_string ( x : rat_num ) = Z3native.get_numeral_string (ngnc x) (ngno x) let mk_real_const ( ctx : context ) ( name : Symbol.symbol ) = RealExpr(ArithExpr(Expr.mk_const ctx name (match (mk_sort ctx) with RealSort(ArithSort(s)) -> s))) let mk_real_const_s ( ctx : context ) ( name : string ) = mk_real_const ctx (Symbol.mk_string ctx name) let mk_numeral_nd ( ctx : context ) ( num : int ) ( den : int) = if (den == 0) then raise (Z3native.Exception "Denominator is zero") else rat_num_of_ptr ctx (Z3native.mk_real (context_gno ctx) num den) let mk_numeral_s ( ctx : context ) ( v : string ) = rat_num_of_ptr ctx (Z3native.mk_numeral (context_gno ctx) v (sgno (mk_sort ctx))) let mk_numeral_i ( ctx : context ) ( v : int ) = rat_num_of_ptr ctx (Z3native.mk_int (context_gno ctx) v (sgno (mk_sort ctx))) let mk_is_integer ( ctx : context ) ( t : real_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_is_int (context_gno ctx) (egno t))) let mk_real2int ( ctx : context ) ( t : real_expr ) = Integer.int_expr_of_arith_expr (arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_real2int (context_gno ctx) (egno t)))) end and AlgebraicNumber : sig type algebraic_num = AlgebraicNum of arith_expr val arith_expr_of_algebraic_num : algebraic_num -> arith_expr val algebraic_num_of_arith_expr : arith_expr -> algebraic_num val to_upper : algebraic_num -> int -> Real.rat_num val to_lower : algebraic_num -> int -> Real.rat_num val to_decimal_string : algebraic_num -> int -> string val to_string : algebraic_num -> string end = struct type algebraic_num = AlgebraicNum of arith_expr let arith_expr_of_algebraic_num e = match e with AlgebraicNum(x) -> x let algebraic_num_of_arith_expr e = match e with ArithExpr(Expr(a)) -> if (not (Z3native.is_algebraic_number (z3obj_gnc a) (z3obj_gno a))) then raise (Z3native.Exception "Invalid coercion") else AlgebraicNum(e) let algebraic_num_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = algebraic_num_of_arith_expr (arith_expr_of_expr (expr_of_ptr ctx no)) let ngc ( x : algebraic_num ) = match (x) with AlgebraicNum(e) -> (egc e) let ngnc ( x : algebraic_num ) = match (x) with AlgebraicNum(e) -> (egnc e) let ngno ( x : algebraic_num ) = match (x) with AlgebraicNum(e) -> (egno e) let to_upper ( x : algebraic_num ) ( precision : int ) = Real.rat_num_of_ptr (ngc x) (Z3native.get_algebraic_number_upper (ngnc x) (ngno x) precision) let to_lower ( x : algebraic_num ) precision = Real.rat_num_of_ptr (ngc x) (Z3native.get_algebraic_number_lower (ngnc x) (ngno x) precision) let to_decimal_string ( x : algebraic_num ) ( precision : int ) = Z3native.get_numeral_decimal_string (ngnc x) (ngno x) precision let to_string ( x : algebraic_num ) = Z3native.get_numeral_string (ngnc x) (ngno x) end let is_int ( x : expr ) = (Z3native.is_numeral_ast (nc_of_expr x) (nc_of_expr x)) && ((sort_kind_of_int (Z3native.get_sort_kind (nc_of_expr x) (Z3native.get_sort (nc_of_expr x) (nc_of_expr x)))) == INT_SORT) let is_arithmetic_numeral ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ANUM) let is_le ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_LE) let is_ge ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_GE) let is_lt ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_LT) let is_gt ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_GT) let is_add ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ADD) let is_sub ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SUB) let is_uminus ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_UMINUS) let is_mul ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_MUL) let is_div ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_DIV) let is_idiv ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_IDIV) let is_remainder ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_REM) let is_modulus ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_MOD) let is_inttoreal ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_TO_REAL) let is_real_to_int ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_TO_INT) let is_real_is_int ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_IS_INT) let is_real ( x : expr ) = ((sort_kind_of_int (Z3native.get_sort_kind (nc_of_expr x) (Z3native.get_sort (nc_of_expr x) (nc_of_expr x)))) == REAL_SORT) let is_int_numeral ( x : expr ) = (Expr.is_numeral x) && (is_int x) let is_rat_num ( x : expr ) = (Expr.is_numeral x) && (is_real x) let is_algebraic_number ( x : expr ) = Z3native.is_algebraic_number (nc_of_expr x) (nc_of_expr x) let mk_add ( ctx : context ) ( t : arith_expr list ) = let f x = (ptr_of_expr (expr_of_arith_expr x)) in arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_add (context_gno ctx) (List.length t) (Array.of_list (List.map f t)))) let mk_mul ( ctx : context ) ( t : arith_expr list ) = let f x = (ptr_of_expr (expr_of_arith_expr x)) in arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_mul (context_gno ctx) (List.length t) (Array.of_list (List.map f t)))) let mk_sub ( ctx : context ) ( t : arith_expr list ) = let f x = (ptr_of_expr (expr_of_arith_expr x)) in arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_sub (context_gno ctx) (List.length t) (Array.of_list (List.map f t)))) let mk_unary_minus ( ctx : context ) ( t : arith_expr ) = arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_unary_minus (context_gno ctx) (egno t))) let mk_div ( ctx : context ) ( t1 : arith_expr ) ( t2 : arith_expr ) = arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_div (context_gno ctx) (egno t1) (egno t2))) let mk_power ( ctx : context ) ( t1 : arith_expr ) ( t2 : arith_expr ) = arith_expr_of_expr (expr_of_ptr ctx (Z3native.mk_power (context_gno ctx) (egno t1) (egno t2))) let mk_lt ( ctx : context ) ( t1 : arith_expr ) ( t2 : arith_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_lt (context_gno ctx) (egno t1) (egno t2))) let mk_le ( ctx : context ) ( t1 : arith_expr ) ( t2 : arith_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_le (context_gno ctx) (egno t1) (egno t2))) let mk_gt ( ctx : context ) ( t1 : arith_expr ) ( t2 : arith_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_gt (context_gno ctx) (egno t1) (egno t2))) let mk_ge ( ctx : context ) ( t1 : arith_expr ) ( t2 : arith_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_ge (context_gno ctx) (egno t1) (egno t2))) end and BitVector : sig type bitvec_sort = BitVecSort of Sort.sort type bitvec_expr = BitVecExpr of Expr.expr type bitvec_num = BitVecNum of bitvec_expr val sort_of_bitvec_sort : BitVector.bitvec_sort -> Sort.sort val bitvec_sort_of_sort : Sort.sort -> BitVector.bitvec_sort val expr_of_bitvec_expr : BitVector.bitvec_expr -> Expr.expr val bitvec_expr_of_bitvec_num : BitVector.bitvec_num -> BitVector.bitvec_expr val bitvec_expr_of_expr : Expr.expr -> BitVector.bitvec_expr val bitvec_num_of_bitvec_expr : BitVector.bitvec_expr -> BitVector.bitvec_num val mk_sort : context -> int -> bitvec_sort val is_bv : Expr.expr -> bool val is_bv_numeral : Expr.expr -> bool val is_bv_bit1 : Expr.expr -> bool val is_bv_bit0 : Expr.expr -> bool val is_bv_uminus : Expr.expr -> bool val is_bv_add : Expr.expr -> bool val is_bv_sub : Expr.expr -> bool val is_bv_mul : Expr.expr -> bool val is_bv_sdiv : Expr.expr -> bool val is_bv_udiv : Expr.expr -> bool val is_bv_SRem : Expr.expr -> bool val is_bv_urem : Expr.expr -> bool val is_bv_smod : Expr.expr -> bool val is_bv_sdiv0 : Expr.expr -> bool val is_bv_udiv0 : Expr.expr -> bool val is_bv_srem0 : Expr.expr -> bool val is_bv_urem0 : Expr.expr -> bool val is_bv_smod0 : Expr.expr -> bool val is_bv_ule : Expr.expr -> bool val is_bv_sle : Expr.expr -> bool val is_bv_uge : Expr.expr -> bool val is_bv_sge : Expr.expr -> bool val is_bv_ult : Expr.expr -> bool val is_bv_slt : Expr.expr -> bool val is_bv_ugt : Expr.expr -> bool val is_bv_sgt : Expr.expr -> bool val is_bv_and : Expr.expr -> bool val is_bv_or : Expr.expr -> bool val is_bv_not : Expr.expr -> bool val is_bv_xor : Expr.expr -> bool val is_bv_nand : Expr.expr -> bool val is_bv_nor : Expr.expr -> bool val is_bv_xnor : Expr.expr -> bool val is_bv_concat : Expr.expr -> bool val is_bv_signextension : Expr.expr -> bool val is_bv_zeroextension : Expr.expr -> bool val is_bv_extract : Expr.expr -> bool val is_bv_repeat : Expr.expr -> bool val is_bv_reduceor : Expr.expr -> bool val is_bv_reduceand : Expr.expr -> bool val is_bv_comp : Expr.expr -> bool val is_bv_shiftleft : Expr.expr -> bool val is_bv_shiftrightlogical : Expr.expr -> bool val is_bv_shiftrightarithmetic : Expr.expr -> bool val is_bv_rotateleft : Expr.expr -> bool val is_bv_rotateright : Expr.expr -> bool val is_bv_rotateleftextended : Expr.expr -> bool val is_bv_rotaterightextended : Expr.expr -> bool val is_int_to_bv : Expr.expr -> bool val is_bv_to_int : Expr.expr -> bool val is_bv_carry : Expr.expr -> bool val is_bv_xor3 : Expr.expr -> bool val get_size : bitvec_sort -> int val get_int : bitvec_num -> int val to_string : bitvec_num -> string val mk_const : context -> Symbol.symbol -> int -> bitvec_expr val mk_const_s : context -> string -> int -> bitvec_expr val mk_not : context -> bitvec_expr -> Expr.expr val mk_redand : context -> bitvec_expr -> Expr.expr val mk_redor : context -> bitvec_expr -> Expr.expr val mk_and : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_or : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_xor : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_nand : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_nor : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_xnor : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_neg : context -> bitvec_expr -> bitvec_expr val mk_add : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_sub : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_mul : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_udiv : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_sdiv : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_urem : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_srem : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_smod : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_ult : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_slt : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_ule : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_sle : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_uge : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_sge : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_ugt : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_sgt : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_concat : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_extract : context -> int -> int -> bitvec_expr -> bitvec_expr val mk_sign_ext : context -> int -> bitvec_expr -> bitvec_expr val mk_zero_ext : context -> int -> bitvec_expr -> bitvec_expr val mk_repeat : context -> int -> bitvec_expr -> bitvec_expr val mk_shl : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_lshr : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_ashr : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_rotate_left : context -> int -> bitvec_expr -> bitvec_expr val mk_rotate_right : context -> int -> bitvec_expr -> bitvec_expr val mk_ext_rotate_left : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_ext_rotate_right : context -> bitvec_expr -> bitvec_expr -> bitvec_expr val mk_bv2int : context -> bitvec_expr -> bool -> Arithmetic.Integer.int_expr val mk_add_no_overflow : context -> bitvec_expr -> bitvec_expr -> bool -> Boolean.bool_expr val mk_add_no_underflow : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_sub_no_overflow : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_sub_no_underflow : context -> bitvec_expr -> bitvec_expr -> bool -> Boolean.bool_expr val mk_sdiv_no_overflow : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_neg_no_overflow : context -> bitvec_expr -> Boolean.bool_expr val mk_mul_no_overflow : context -> bitvec_expr -> bitvec_expr -> bool -> Boolean.bool_expr val mk_mul_no_underflow : context -> bitvec_expr -> bitvec_expr -> Boolean.bool_expr val mk_numeral : context -> string -> int -> bitvec_num end = struct type bitvec_sort = BitVecSort of sort type bitvec_expr = BitVecExpr of expr type bitvec_num = BitVecNum of bitvec_expr let sort_of_bitvec_sort s = match s with BitVecSort(x) -> x let bitvec_sort_of_sort s = match s with Sort(a) -> if ((Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) (z3obj_gno a))) != Z3enums.BV_SORT) then raise (Z3native.Exception "Invalid coercion") else BitVecSort(s) let bitvec_sort_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = bitvec_sort_of_sort (sort_of_ptr ctx no) let bitvec_expr_of_expr e = match e with Expr(a) -> let s = Z3native.get_sort (z3obj_gnc a) (z3obj_gno a) in let q = (Z3enums.sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc a) s)) in if (q != Z3enums.BV_SORT) then raise (Z3native.Exception "Invalid coercion") else BitVecExpr(e) let bitvec_expr_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = bitvec_expr_of_expr (expr_of_ptr ctx no) let bitvec_num_of_bitvec_expr e = match e with BitVecExpr(Expr(a)) -> if (not (Z3native.is_numeral_ast (z3obj_gnc a) (z3obj_gno a))) then raise (Z3native.Exception "Invalid coercion") else BitVecNum(e) let bitvec_num_of_ptr ( ctx : context ) ( no : Z3native.ptr ) = bitvec_num_of_bitvec_expr (bitvec_expr_of_expr (expr_of_ptr ctx no)) let expr_of_bitvec_expr e = match e with BitVecExpr(x) -> x let bitvec_expr_of_bitvec_num e = match e with BitVecNum(x) -> x let sgc ( x : bitvec_sort ) = match (x) with BitVecSort(s) -> (Sort.gc s) let sgnc ( x : bitvec_sort ) = match (x) with BitVecSort(s) -> (Sort.gnc s) let sgno ( x : bitvec_sort ) = match (x) with BitVecSort(s) -> (Sort.gno s) let egc ( x : bitvec_expr ) = match (x) with BitVecExpr(e) -> (c_of_expr e) let egnc ( x : bitvec_expr ) = match (x) with BitVecExpr(e) -> (nc_of_expr e) let egno ( x : bitvec_expr ) = match (x) with BitVecExpr(e) -> (ptr_of_expr e) let ngc ( x : bitvec_num ) = match (x) with BitVecNum(e) -> (egc e) let ngnc ( x : bitvec_num ) = match (x) with BitVecNum(e) -> (egnc e) let ngno ( x : bitvec_num ) = match (x) with BitVecNum(e) -> (egno e) let mk_sort ( ctx : context ) size = bitvec_sort_of_ptr ctx (Z3native.mk_bv_sort (context_gno ctx) size) let is_bv ( x : expr ) = ((sort_kind_of_int (Z3native.get_sort_kind (nc_of_expr x) (Z3native.get_sort (nc_of_expr x) (ptr_of_expr x)))) == BV_SORT) let is_bv_numeral ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BNUM) let is_bv_bit1 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BIT1) let is_bv_bit0 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BIT0) let is_bv_uminus ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BNEG) let is_bv_add ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BADD) let is_bv_sub ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSUB) let is_bv_mul ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BMUL) let is_bv_sdiv ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSDIV) let is_bv_udiv ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BUDIV) let is_bv_SRem ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSREM) let is_bv_urem ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BUREM) let is_bv_smod ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSMOD) let is_bv_sdiv0 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSDIV0) let is_bv_udiv0 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BUDIV0) let is_bv_srem0 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSREM0) let is_bv_urem0 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BUREM0) let is_bv_smod0 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSMOD0) let is_bv_ule ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ULEQ) let is_bv_sle ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SLEQ) let is_bv_uge ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_UGEQ) let is_bv_sge ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SGEQ) let is_bv_ult ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ULT) let is_bv_slt ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SLT) let is_bv_ugt ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_UGT) let is_bv_sgt ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SGT) let is_bv_and ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BAND) let is_bv_or ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BOR) let is_bv_not ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BNOT) let is_bv_xor ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BXOR) let is_bv_nand ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BNAND) let is_bv_nor ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BNOR) let is_bv_xnor ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BXNOR) let is_bv_concat ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_CONCAT) let is_bv_signextension ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_SIGN_EXT) let is_bv_zeroextension ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ZERO_EXT) let is_bv_extract ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_EXTRACT) let is_bv_repeat ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_REPEAT) let is_bv_reduceor ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BREDOR) let is_bv_reduceand ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BREDAND) let is_bv_comp ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BCOMP) let is_bv_shiftleft ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BSHL) let is_bv_shiftrightlogical ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BLSHR) let is_bv_shiftrightarithmetic ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BASHR) let is_bv_rotateleft ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ROTATE_LEFT) let is_bv_rotateright ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_ROTATE_RIGHT) let is_bv_rotateleftextended ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_EXT_ROTATE_LEFT) let is_bv_rotaterightextended ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_EXT_ROTATE_RIGHT) let is_int_to_bv ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_INT2BV) let is_bv_to_int ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_BV2INT) let is_bv_carry ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_CARRY) let is_bv_xor3 ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_XOR3) let get_size (x : bitvec_sort ) = Z3native.get_bv_sort_size (sgnc x) (sgno x) let get_int ( x : bitvec_num ) = let (r, v) = Z3native.get_numeral_int (ngnc x) (ngno x) in if r then v else raise (Z3native.Exception "Conversion failed.") let to_string ( x : bitvec_num ) = Z3native.get_numeral_string (ngnc x) (ngno x) let mk_const ( ctx : context ) ( name : Symbol.symbol ) ( size : int ) = BitVecExpr(Expr.mk_const ctx name (match (BitVector.mk_sort ctx size) with BitVecSort(s) -> s)) let mk_const_s ( ctx : context ) ( name : string ) ( size : int ) = mk_const ctx (Symbol.mk_string ctx name) size let mk_not ( ctx : context ) ( t : bitvec_expr ) = expr_of_ptr ctx (Z3native.mk_bvnot (context_gno ctx) (egno t)) let mk_redand ( ctx : context ) ( t : bitvec_expr) = expr_of_ptr ctx (Z3native.mk_bvredand (context_gno ctx) (egno t)) let mk_redor ( ctx : context ) ( t : bitvec_expr) = expr_of_ptr ctx (Z3native.mk_bvredor (context_gno ctx) (egno t)) let mk_and ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvand (context_gno ctx) (egno t1) (egno t2)) let mk_or ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvor (context_gno ctx) (egno t1) (egno t2)) let mk_xor ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvxor (context_gno ctx) (egno t1) (egno t2)) let mk_nand ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvnand (context_gno ctx) (egno t1) (egno t2)) let mk_nor ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvnor (context_gno ctx) (egno t1) (egno t2)) let mk_xnor ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvxnor (context_gno ctx) (egno t1) (egno t2)) let mk_neg ( ctx : context ) ( t : bitvec_expr) = bitvec_expr_of_ptr ctx (Z3native.mk_bvneg (context_gno ctx) (egno t)) let mk_add ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvadd (context_gno ctx) (egno t1) (egno t2)) let mk_sub ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvsub (context_gno ctx) (egno t1) (egno t2)) let mk_mul ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvmul (context_gno ctx) (egno t1) (egno t2)) let mk_udiv ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvudiv (context_gno ctx) (egno t1) (egno t2)) let mk_sdiv ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvsdiv (context_gno ctx) (egno t1) (egno t2)) let mk_urem ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvurem (context_gno ctx) (egno t1) (egno t2)) let mk_srem ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvsrem (context_gno ctx) (egno t1) (egno t2)) let mk_smod ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvsmod (context_gno ctx) (egno t1) (egno t2)) let mk_ult ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvult (context_gno ctx) (egno t1) (egno t2))) let mk_slt ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvslt (context_gno ctx) (egno t1) (egno t2))) let mk_ule ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvule (context_gno ctx) (egno t1) (egno t2))) let mk_sle ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvsle (context_gno ctx) (egno t1) (egno t2))) let mk_uge ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvuge (context_gno ctx) (egno t1) (egno t2))) let mk_sge ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvsge (context_gno ctx) (egno t1) (egno t2))) let mk_ugt ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvugt (context_gno ctx) (egno t1) (egno t2))) let mk_sgt ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvsgt (context_gno ctx) (egno t1) (egno t2))) let mk_concat ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_concat (context_gno ctx) (egno t1) (egno t2)) let mk_extract ( ctx : context ) ( high : int ) ( low : int ) ( t : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_extract (context_gno ctx) high low (egno t)) let mk_sign_ext ( ctx : context ) ( i : int ) ( t : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_sign_ext (context_gno ctx) i (egno t)) let mk_zero_ext ( ctx : context ) ( i : int ) ( t : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_zero_ext (context_gno ctx) i (egno t)) let mk_repeat ( ctx : context ) ( i : int ) ( t : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_repeat (context_gno ctx) i (egno t)) let mk_shl ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvshl (context_gno ctx) (egno t1) (egno t2)) let mk_lshr ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvlshr (context_gno ctx) (egno t1) (egno t2)) let mk_ashr ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_bvashr (context_gno ctx) (egno t1) (egno t2)) let mk_rotate_left ( ctx : context ) ( i : int ) ( t : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_rotate_left (context_gno ctx) i (egno t)) let mk_rotate_right ( ctx : context ) ( i : int ) ( t : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_rotate_right (context_gno ctx) i (egno t)) let mk_ext_rotate_left ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_ext_rotate_left (context_gno ctx) (egno t1) (egno t2)) let mk_ext_rotate_right ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = bitvec_expr_of_ptr ctx (Z3native.mk_ext_rotate_right (context_gno ctx) (egno t1) (egno t2)) let mk_bv2int ( ctx : context ) ( t : bitvec_expr ) ( signed : bool ) = Arithmetic.Integer.int_expr_of_ptr ctx (Z3native.mk_bv2int (context_gno ctx) (egno t) signed) let mk_add_no_overflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) ( signed : bool) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvadd_no_overflow (context_gno ctx) (egno t1) (egno t2) signed)) let mk_add_no_underflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvadd_no_underflow (context_gno ctx) (egno t1) (egno t2))) let mk_sub_no_overflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvsub_no_overflow (context_gno ctx) (egno t1) (egno t2))) let mk_sub_no_underflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) ( signed : bool) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvsub_no_underflow (context_gno ctx) (egno t1) (egno t2) signed)) let mk_sdiv_no_overflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvsdiv_no_overflow (context_gno ctx) (egno t1) (egno t2))) let mk_neg_no_overflow ( ctx : context ) ( t : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvneg_no_overflow (context_gno ctx) (egno t))) let mk_mul_no_overflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) ( signed : bool) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvmul_no_overflow (context_gno ctx) (egno t1) (egno t2) signed)) let mk_mul_no_underflow ( ctx : context ) ( t1 : bitvec_expr ) ( t2 : bitvec_expr ) = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.mk_bvmul_no_underflow (context_gno ctx) (egno t1) (egno t2))) let mk_numeral ( ctx : context ) ( v : string ) ( size : int) = bitvec_num_of_ptr ctx (Z3native.mk_numeral (context_gno ctx) v (sgno (BitVector.mk_sort ctx size))) end module Proof = struct let is_true ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_TRUE) let is_asserted ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_ASSERTED) let is_goal ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_GOAL) let is_modus_ponens ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_MODUS_PONENS) let is_reflexivity ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_REFLEXIVITY) let is_symmetry ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_SYMMETRY) let is_transitivity ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_TRANSITIVITY) let is_Transitivity_star ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_TRANSITIVITY_STAR) let is_monotonicity ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_MONOTONICITY) let is_quant_intro ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_QUANT_INTRO) let is_distributivity ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_DISTRIBUTIVITY) let is_and_elimination ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_AND_ELIM) let is_or_elimination ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_NOT_OR_ELIM) let is_rewrite ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_REWRITE) let is_rewrite_star ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_REWRITE_STAR) let is_pull_quant ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_PULL_QUANT) let is_pull_quant_star ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_PULL_QUANT_STAR) let is_push_quant ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_PUSH_QUANT) let is_elim_unused_vars ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_ELIM_UNUSED_VARS) let is_der ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_DER) let is_quant_inst ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_QUANT_INST) let is_hypothesis ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_HYPOTHESIS) let is_lemma ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_LEMMA) let is_unit_resolution ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_UNIT_RESOLUTION) let is_iff_true ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_IFF_TRUE) let is_iff_false ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_IFF_FALSE) let is_commutativity ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_COMMUTATIVITY) (* *) let is_def_axiom ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_DEF_AXIOM) let is_def_intro ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_DEF_INTRO) let is_apply_def ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_APPLY_DEF) let is_iff_oeq ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_IFF_OEQ) let is_nnf_pos ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_NNF_POS) let is_nnf_neg ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_NNF_NEG) let is_nnf_star ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_NNF_STAR) let is_cnf_star ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_CNF_STAR) let is_skolemize ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_SKOLEMIZE) let is_modus_ponens_oeq ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_MODUS_PONENS_OEQ) let is_theory_lemma ( x : expr ) = (FuncDecl.get_decl_kind (Expr.get_func_decl x) == OP_PR_TH_LEMMA) end module Goal = struct type goal = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : goal = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.goal_inc_ref ; dec_ref = Z3native.goal_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let get_precision ( x : goal ) = goal_prec_of_int (Z3native.goal_precision (z3obj_gnc x) (z3obj_gno x)) let is_precise ( x : goal ) = (get_precision x) == GOAL_PRECISE let is_underapproximation ( x : goal ) = (get_precision x) == GOAL_UNDER let is_overapproximation ( x : goal ) = (get_precision x) == GOAL_OVER let is_garbage ( x : goal ) = (get_precision x) == GOAL_UNDER_OVER let assert_ ( x : goal ) ( constraints : Boolean.bool_expr list ) = let f e = Z3native.goal_assert (z3obj_gnc x) (z3obj_gno x) (Boolean.gno e) in ignore (List.map f constraints) ; () let is_inconsistent ( x : goal ) = Z3native.goal_inconsistent (z3obj_gnc x) (z3obj_gno x) let get_depth ( x : goal ) = Z3native.goal_depth (z3obj_gnc x) (z3obj_gno x) let reset ( x : goal ) = Z3native.goal_reset (z3obj_gnc x) (z3obj_gno x) let get_size ( x : goal ) = Z3native.goal_size (z3obj_gnc x) (z3obj_gno x) let get_formulas ( x : goal ) = let n = get_size x in let f i = (Boolean.bool_expr_of_expr (expr_of_ptr (z3obj_gc x) (Z3native.goal_formula (z3obj_gnc x) (z3obj_gno x) i))) in mk_list f n let get_num_exprs ( x : goal ) = Z3native.goal_num_exprs (z3obj_gnc x) (z3obj_gno x) let is_decided_sat ( x : goal ) = Z3native.goal_is_decided_sat (z3obj_gnc x) (z3obj_gno x) let is_decided_unsat ( x : goal ) = Z3native.goal_is_decided_unsat (z3obj_gnc x) (z3obj_gno x) let translate ( x : goal ) ( to_ctx : context ) = create to_ctx (Z3native.goal_translate (z3obj_gnc x) (z3obj_gno x) (context_gno to_ctx)) let simplify ( x : goal ) ( p : Params.params option ) = let tn = Z3native.mk_tactic (z3obj_gnc x) "simplify" in Z3native.tactic_inc_ref (z3obj_gnc x) tn ; let arn = match p with | None -> Z3native.tactic_apply (z3obj_gnc x) tn (z3obj_gno x) | Some(pn) -> Z3native.tactic_apply_ex (z3obj_gnc x) tn (z3obj_gno x) (z3obj_gno pn) in Z3native.apply_result_inc_ref (z3obj_gnc x) arn ; let sg = Z3native.apply_result_get_num_subgoals (z3obj_gnc x) arn in let res = if sg == 0 then raise (Z3native.Exception "No subgoals") else Z3native.apply_result_get_subgoal (z3obj_gnc x) arn 0 in Z3native.apply_result_dec_ref (z3obj_gnc x) arn ; Z3native.tactic_dec_ref (z3obj_gnc x) tn ; create (z3obj_gc x) res let mk_goal ( ctx : context ) ( models : bool ) ( unsat_cores : bool ) ( proofs : bool ) = create ctx (Z3native.mk_goal (context_gno ctx) models unsat_cores proofs) let to_string ( x : goal ) = Z3native.goal_to_string (z3obj_gnc x) (z3obj_gno x) end module Model = struct type model = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : model = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.model_inc_ref ; dec_ref = Z3native.model_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res module FuncInterp = struct type func_interp = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : func_interp = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.func_interp_inc_ref ; dec_ref = Z3native.func_interp_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res module FuncEntry = struct type func_entry = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : func_entry = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.func_entry_inc_ref ; dec_ref = Z3native.func_entry_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let get_value ( x : func_entry ) = expr_of_ptr (z3obj_gc x) (Z3native.func_entry_get_value (z3obj_gnc x) (z3obj_gno x)) let get_num_args ( x : func_entry ) = Z3native.func_entry_get_num_args (z3obj_gnc x) (z3obj_gno x) let get_args ( x : func_entry ) = let n = (get_num_args x) in let f i = (expr_of_ptr (z3obj_gc x) (Z3native.func_entry_get_arg (z3obj_gnc x) (z3obj_gno x) i)) in mk_list f n let to_string ( x : func_entry ) = let a = (get_args x) in let f c p = (p ^ (Expr.to_string c) ^ ", ") in "[" ^ List.fold_right f a ((Expr.to_string (get_value x)) ^ "]") end let get_num_entries ( x: func_interp ) = Z3native.func_interp_get_num_entries (z3obj_gnc x) (z3obj_gno x) let get_entries ( x : func_interp ) = let n = (get_num_entries x) in let f i = (FuncEntry.create (z3obj_gc x) (Z3native.func_interp_get_entry (z3obj_gnc x) (z3obj_gno x) i)) in mk_list f n let get_else ( x : func_interp ) = expr_of_ptr (z3obj_gc x) (Z3native.func_interp_get_else (z3obj_gnc x) (z3obj_gno x)) let get_arity ( x : func_interp ) = Z3native.func_interp_get_arity (z3obj_gnc x) (z3obj_gno x) let to_string ( x : func_interp ) = let f c p = ( let n = (FuncEntry.get_num_args c) in p ^ let g c p = (p ^ (Expr.to_string c) ^ ", ") in (if n > 1 then "[" else "") ^ (List.fold_right g (FuncEntry.get_args c) ((if n > 1 then "]" else "") ^ " -> " ^ (Expr.to_string (FuncEntry.get_value c)) ^ ", ")) ) in List.fold_right f (get_entries x) ("else -> " ^ (Expr.to_string (get_else x)) ^ "]") end let get_const_interp ( x : model ) ( f : func_decl ) = if (FuncDecl.get_arity f) != 0 || (sort_kind_of_int (Z3native.get_sort_kind (FuncDecl.gnc f) (Z3native.get_range (FuncDecl.gnc f) (FuncDecl.gno f)))) == ARRAY_SORT then raise (Z3native.Exception "Non-zero arity functions and arrays have FunctionInterpretations as a model. Use FuncInterp.") else let np = Z3native.model_get_const_interp (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno f) in if (Z3native.is_null np) then None else Some (expr_of_ptr (z3obj_gc x) np) let get_const_interp_e ( x : model ) ( a : expr ) = get_const_interp x (Expr.get_func_decl a) let rec get_func_interp ( x : model ) ( f : func_decl ) = let sk = (sort_kind_of_int (Z3native.get_sort_kind (z3obj_gnc x) (Z3native.get_range (FuncDecl.gnc f) (FuncDecl.gno f)))) in if (FuncDecl.get_arity f) == 0 then let n = Z3native.model_get_const_interp (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno f) in if (Z3native.is_null n) then None else match sk with | ARRAY_SORT -> if not (Z3native.is_as_array (z3obj_gnc x) n) then raise (Z3native.Exception "Argument was not an array constant") else let fd = Z3native.get_as_array_func_decl (z3obj_gnc x) n in get_func_interp x (func_decl_of_ptr (z3obj_gc x) fd) | _ -> raise (Z3native.Exception "Constant functions do not have a function interpretation; use ConstInterp"); else let n = (Z3native.model_get_func_interp (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno f)) in if (Z3native.is_null n) then None else Some (FuncInterp.create (z3obj_gc x) n) (** The number of constants that have an interpretation in the model. *) let get_num_consts ( x : model ) = Z3native.model_get_num_consts (z3obj_gnc x) (z3obj_gno x) let get_const_decls ( x : model ) = let n = (get_num_consts x) in let f i = func_decl_of_ptr (z3obj_gc x) (Z3native.model_get_const_decl (z3obj_gnc x) (z3obj_gno x) i) in mk_list f n let get_num_funcs ( x : model ) = Z3native.model_get_num_funcs (z3obj_gnc x) (z3obj_gno x) let get_func_decls ( x : model ) = let n = (get_num_consts x) in let f i = func_decl_of_ptr (z3obj_gc x) (Z3native.model_get_func_decl (z3obj_gnc x) (z3obj_gno x) i) in mk_list f n let get_decls ( x : model ) = let n_funcs = (get_num_funcs x) in let n_consts = (get_num_consts x ) in let f i = func_decl_of_ptr (z3obj_gc x) (Z3native.model_get_func_decl (z3obj_gnc x) (z3obj_gno x) i) in let g i = func_decl_of_ptr (z3obj_gc x) (Z3native.model_get_const_decl (z3obj_gnc x) (z3obj_gno x) i) in (mk_list f n_funcs) @ (mk_list g n_consts) exception ModelEvaluationFailedException of string let eval ( x : model ) ( t : expr ) ( completion : bool ) = let (r, v) = (Z3native.model_eval (z3obj_gnc x) (z3obj_gno x) (ptr_of_expr t) completion) in if not r then raise (ModelEvaluationFailedException "evaluation failed") else expr_of_ptr (z3obj_gc x) v let evaluate ( x : model ) ( t : expr ) ( completion : bool ) = eval x t completion let get_num_sorts ( x : model ) = Z3native.model_get_num_sorts (z3obj_gnc x) (z3obj_gno x) let get_sorts ( x : model ) = let n = (get_num_sorts x) in let f i = (sort_of_ptr (z3obj_gc x) (Z3native.model_get_sort (z3obj_gnc x) (z3obj_gno x) i)) in mk_list f n let sort_universe ( x : model ) ( s : sort ) = let n_univ = AST.ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.model_get_sort_universe (z3obj_gnc x) (z3obj_gno x) (Sort.gno s)) in let n = (AST.ASTVector.get_size n_univ) in let f i = (AST.ASTVector.get n_univ i) in mk_list f n let to_string ( x : model ) = Z3native.model_to_string (z3obj_gnc x) (z3obj_gno x) end module Probe = struct type probe = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : probe = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.probe_inc_ref ; dec_ref = Z3native.probe_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let apply ( x : probe ) ( g : Goal.goal ) = Z3native.probe_apply (z3obj_gnc x) (z3obj_gno x) (z3obj_gno g) let get_num_probes ( ctx : context ) = Z3native.get_num_probes (context_gno ctx) let get_probe_names ( ctx : context ) = let n = (get_num_probes ctx) in let f i = (Z3native.get_probe_name (context_gno ctx) i) in mk_list f n let get_probe_description ( ctx : context ) ( name : string ) = Z3native.probe_get_descr (context_gno ctx) name let mk_probe ( ctx : context ) ( name : string ) = (create ctx (Z3native.mk_probe (context_gno ctx) name)) let const ( ctx : context ) ( v : float ) = (create ctx (Z3native.probe_const (context_gno ctx) v)) let lt ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_lt (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let gt ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_gt (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let le ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_le (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let ge ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_ge (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let eq ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_eq (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let and_ ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_and (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let or_ ( ctx : context ) ( p1 : probe ) ( p2 : probe ) = (create ctx (Z3native.probe_or (context_gno ctx) (z3obj_gno p1) (z3obj_gno p2))) let not_ ( ctx : context ) ( p : probe ) = (create ctx (Z3native.probe_not (context_gno ctx) (z3obj_gno p))) end module Tactic = struct type tactic = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : tactic = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.tactic_inc_ref ; dec_ref = Z3native.tactic_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res module ApplyResult = struct type apply_result = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : apply_result = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.apply_result_inc_ref ; dec_ref = Z3native.apply_result_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let get_num_subgoals ( x : apply_result ) = Z3native.apply_result_get_num_subgoals (z3obj_gnc x) (z3obj_gno x) let get_subgoals ( x : apply_result ) = let n = (get_num_subgoals x) in let f i = Goal.create (z3obj_gc x) (Z3native.apply_result_get_subgoal (z3obj_gnc x) (z3obj_gno x) i) in mk_list f n let get_subgoal ( x : apply_result ) ( i : int ) = Goal.create (z3obj_gc x) (Z3native.apply_result_get_subgoal (z3obj_gnc x) (z3obj_gno x) i) let convert_model ( x : apply_result ) ( i : int ) ( m : Model.model ) = Model.create (z3obj_gc x) (Z3native.apply_result_convert_model (z3obj_gnc x) (z3obj_gno x) i (z3obj_gno m)) let to_string ( x : apply_result ) = Z3native.apply_result_to_string (z3obj_gnc x) (z3obj_gno x) end let get_help ( x : tactic ) = Z3native.tactic_get_help (z3obj_gnc x) (z3obj_gno x) let get_param_descrs ( x : tactic ) = Params.ParamDescrs.param_descrs_of_ptr (z3obj_gc x) (Z3native.tactic_get_param_descrs (z3obj_gnc x) (z3obj_gno x)) let apply ( x : tactic ) ( g : Goal.goal ) ( p : Params.params option ) = match p with | None -> (ApplyResult.create (z3obj_gc x) (Z3native.tactic_apply (z3obj_gnc x) (z3obj_gno x) (z3obj_gno g))) | Some (pn) -> (ApplyResult.create (z3obj_gc x) (Z3native.tactic_apply_ex (z3obj_gnc x) (z3obj_gno x) (z3obj_gno g) (z3obj_gno pn))) let get_num_tactics ( ctx : context ) = Z3native.get_num_tactics (context_gno ctx) let get_tactic_names ( ctx : context ) = let n = (get_num_tactics ctx ) in let f i = (Z3native.get_tactic_name (context_gno ctx) i) in mk_list f n let get_tactic_description ( ctx : context ) ( name : string ) = Z3native.tactic_get_descr (context_gno ctx) name let mk_tactic ( ctx : context ) ( name : string ) = create ctx (Z3native.mk_tactic (context_gno ctx) name) let and_then ( ctx : context ) ( t1 : tactic ) ( t2 : tactic ) ( ts : tactic list ) = let f p c = (match p with | None -> (Some (z3obj_gno c)) | Some(x) -> (Some (Z3native.tactic_and_then (context_gno ctx) (z3obj_gno c) x))) in match (List.fold_left f None ts) with | None -> create ctx (Z3native.tactic_and_then (context_gno ctx) (z3obj_gno t1) (z3obj_gno t2)) | Some(x) -> let o = (Z3native.tactic_and_then (context_gno ctx) (z3obj_gno t2) x) in create ctx (Z3native.tactic_and_then (context_gno ctx) (z3obj_gno t1) o) let or_else ( ctx : context ) ( t1 : tactic ) ( t2 : tactic ) = create ctx (Z3native.tactic_or_else (context_gno ctx) (z3obj_gno t1) (z3obj_gno t2)) let try_for ( ctx : context ) ( t : tactic ) ( ms : int ) = create ctx (Z3native.tactic_try_for (context_gno ctx) (z3obj_gno t) ms) let when_ ( ctx : context ) ( p : Probe.probe ) ( t : tactic ) = create ctx (Z3native.tactic_when (context_gno ctx) (z3obj_gno p) (z3obj_gno t)) let cond ( ctx : context ) ( p : Probe.probe ) ( t1 : tactic ) ( t2 : tactic ) = create ctx (Z3native.tactic_cond (context_gno ctx) (z3obj_gno p) (z3obj_gno t1) (z3obj_gno t2)) let repeat ( ctx : context ) ( t : tactic ) ( max : int ) = create ctx (Z3native.tactic_repeat (context_gno ctx) (z3obj_gno t) max) let skip ( ctx : context ) = create ctx (Z3native.tactic_skip (context_gno ctx)) let fail ( ctx : context ) = create ctx (Z3native.tactic_fail (context_gno ctx)) let fail_if ( ctx : context ) ( p : Probe.probe ) = create ctx (Z3native.tactic_fail_if (context_gno ctx) (z3obj_gno p)) let fail_if_not_decided ( ctx : context ) = create ctx (Z3native.tactic_fail_if_not_decided (context_gno ctx)) let using_params ( ctx : context ) ( t : tactic ) ( p : Params.params ) = create ctx (Z3native.tactic_using_params (context_gno ctx) (z3obj_gno t) (z3obj_gno p)) let with_ ( ctx : context ) ( t : tactic ) ( p : Params.params ) = using_params ctx t p let par_or ( ctx : context ) ( t : tactic list ) = let f e = (z3obj_gno e) in create ctx (Z3native.tactic_par_or (context_gno ctx) (List.length t) (Array.of_list (List.map f t))) let par_and_then ( ctx : context ) ( t1 : tactic ) ( t2 : tactic ) = create ctx (Z3native.tactic_par_and_then (context_gno ctx) (z3obj_gno t1) (z3obj_gno t2)) let interrupt ( ctx : context ) = Z3native.interrupt (context_gno ctx) end module Solver = struct type solver = z3_native_object type status = UNSATISFIABLE | UNKNOWN | SATISFIABLE let create ( ctx : context ) ( no : Z3native.ptr ) = let res : solver = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.solver_inc_ref ; dec_ref = Z3native.solver_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res let string_of_status ( s : status) = match s with | UNSATISFIABLE -> "unsatisfiable" | SATISFIABLE -> "satisfiable" | _ -> "unknown" module Statistics = struct type statistics = z3_native_object let create ( ctx : context ) ( no : Z3native.ptr ) = let res : statistics = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.stats_inc_ref ; dec_ref = Z3native.stats_dec_ref } in (z3obj_sno res ctx no) ; (z3obj_create res) ; res module Entry = struct type statistics_entry = { mutable m_key : string; mutable m_is_int : bool ; mutable m_is_float : bool ; mutable m_int : int ; mutable m_float : float } let create_si k v = let res : statistics_entry = { m_key = k ; m_is_int = true ; m_is_float = false ; m_int = v ; m_float = 0.0 } in res let create_sd k v = let res : statistics_entry = { m_key = k ; m_is_int = false ; m_is_float = true ; m_int = 0 ; m_float = v } in res let get_key (x : statistics_entry) = x.m_key let get_int (x : statistics_entry) = x.m_int let get_float (x : statistics_entry) = x.m_float let is_int (x : statistics_entry) = x.m_is_int let is_float (x : statistics_entry) = x.m_is_float let to_string_value (x : statistics_entry) = if (is_int x) then string_of_int (get_int x) else if (is_float x) then string_of_float (get_float x) else raise (Z3native.Exception "Unknown statistical entry type") let to_string ( x : statistics_entry ) = (get_key x) ^ ": " ^ (to_string_value x) end let to_string ( x : statistics ) = Z3native.stats_to_string (z3obj_gnc x) (z3obj_gno x) let get_size ( x : statistics ) = Z3native.stats_size (z3obj_gnc x) (z3obj_gno x) let get_entries ( x : statistics ) = let n = (get_size x ) in let f i = ( let k = Z3native.stats_get_key (z3obj_gnc x) (z3obj_gno x) i in if (Z3native.stats_is_uint (z3obj_gnc x) (z3obj_gno x) i) then (Entry.create_si k (Z3native.stats_get_uint_value (z3obj_gnc x) (z3obj_gno x) i)) else (Entry.create_sd k (Z3native.stats_get_double_value (z3obj_gnc x) (z3obj_gno x) i)) ) in mk_list f n let get_keys ( x : statistics ) = let n = (get_size x) in let f i = (Z3native.stats_get_key (z3obj_gnc x) (z3obj_gno x) i) in mk_list f n let get ( x : statistics ) ( key : string ) = let f p c = (if ((Entry.get_key c) == key) then (Some c) else p) in List.fold_left f None (get_entries x) end let get_help ( x : solver ) = Z3native.solver_get_help (z3obj_gnc x) (z3obj_gno x) let set_parameters ( x : solver ) ( p : Params.params )= Z3native.solver_set_params (z3obj_gnc x) (z3obj_gno x) (z3obj_gno p) let get_param_descrs ( x : solver ) = Params.ParamDescrs.param_descrs_of_ptr (z3obj_gc x) (Z3native.solver_get_param_descrs (z3obj_gnc x) (z3obj_gno x)) let get_num_scopes ( x : solver ) = Z3native.solver_get_num_scopes (z3obj_gnc x) (z3obj_gno x) let push ( x : solver ) = Z3native.solver_push (z3obj_gnc x) (z3obj_gno x) let pop ( x : solver ) ( n : int ) = Z3native.solver_pop (z3obj_gnc x) (z3obj_gno x) n let reset ( x : solver ) = Z3native.solver_reset (z3obj_gnc x) (z3obj_gno x) let assert_ ( x : solver ) ( constraints : Boolean.bool_expr list ) = let f e = (Z3native.solver_assert (z3obj_gnc x) (z3obj_gno x) (Boolean.gno e)) in ignore (List.map f constraints) let assert_and_track_a ( x : solver ) ( cs : Boolean.bool_expr list ) ( ps : Boolean.bool_expr list ) = if ((List.length cs) != (List.length ps)) then raise (Z3native.Exception "Argument size mismatch") else let f a b = (Z3native.solver_assert_and_track (z3obj_gnc x) (z3obj_gno x) (Boolean.gno a) (Boolean.gno b)) in ignore (List.iter2 f cs ps) let assert_and_track ( x : solver ) ( c : Boolean.bool_expr ) ( p : Boolean.bool_expr ) = Z3native.solver_assert_and_track (z3obj_gnc x) (z3obj_gno x) (Boolean.gno c) (Boolean.gno p) let get_num_assertions ( x : solver ) = let a = AST.ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.solver_get_assertions (z3obj_gnc x) (z3obj_gno x)) in (AST.ASTVector.get_size a) let get_assertions ( x : solver ) = let a = AST.ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.solver_get_assertions (z3obj_gnc x) (z3obj_gno x)) in let n = (AST.ASTVector.get_size a) in let f i = Boolean.bool_expr_of_expr (expr_of_ptr (z3obj_gc x) (z3obj_gno (AST.ASTVector.get a i))) in mk_list f n let check ( x : solver ) ( assumptions : Boolean.bool_expr list ) = let r = if ((List.length assumptions) == 0) then lbool_of_int (Z3native.solver_check (z3obj_gnc x) (z3obj_gno x)) else let f x = (ptr_of_expr (Boolean.expr_of_bool_expr x)) in lbool_of_int (Z3native.solver_check_assumptions (z3obj_gnc x) (z3obj_gno x) (List.length assumptions) (Array.of_list (List.map f assumptions))) in match r with | L_TRUE -> SATISFIABLE | L_FALSE -> UNSATISFIABLE | _ -> UNKNOWN let get_model ( x : solver ) = let q = Z3native.solver_get_model (z3obj_gnc x) (z3obj_gno x) in if (Z3native.is_null q) then None else Some (Model.create (z3obj_gc x) q) let get_proof ( x : solver ) = let q = Z3native.solver_get_proof (z3obj_gnc x) (z3obj_gno x) in if (Z3native.is_null q) then None else Some (expr_of_ptr (z3obj_gc x) q) let get_unsat_core ( x : solver ) = let cn = AST.ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.solver_get_unsat_core (z3obj_gnc x) (z3obj_gno x)) in let n = (AST.ASTVector.get_size cn) in let f i = (AST.ASTVector.get cn i) in mk_list f n let get_reason_unknown ( x : solver ) = Z3native.solver_get_reason_unknown (z3obj_gnc x) (z3obj_gno x) let get_statistics ( x : solver ) = (Statistics.create (z3obj_gc x) (Z3native.solver_get_statistics (z3obj_gnc x) (z3obj_gno x))) let mk_solver ( ctx : context ) ( logic : Symbol.symbol option ) = match logic with | None -> (create ctx (Z3native.mk_solver (context_gno ctx))) | Some (x) -> (create ctx (Z3native.mk_solver_for_logic (context_gno ctx) (Symbol.gno x))) let mk_solver_s ( ctx : context ) ( logic : string ) = mk_solver ctx (Some (Symbol.mk_string ctx logic)) let mk_simple_solver ( ctx : context ) = (create ctx (Z3native.mk_simple_solver (context_gno ctx))) let mk_solver_t ( ctx : context ) ( t : Tactic.tactic ) = (create ctx (Z3native.mk_solver_from_tactic (context_gno ctx) (z3obj_gno t))) let to_string ( x : solver ) = Z3native.solver_to_string (z3obj_gnc x) (z3obj_gno x) end module Fixedpoint = struct type fixedpoint = z3_native_object let create ( ctx : context ) = let res : fixedpoint = { m_ctx = ctx ; m_n_obj = null ; inc_ref = Z3native.fixedpoint_inc_ref ; dec_ref = Z3native.fixedpoint_dec_ref } in (z3obj_sno res ctx (Z3native.mk_fixedpoint (context_gno ctx))) ; (z3obj_create res) ; res let get_help ( x : fixedpoint ) = Z3native.fixedpoint_get_help (z3obj_gnc x) (z3obj_gno x) let set_params ( x : fixedpoint ) ( p : Params.params )= Z3native.fixedpoint_set_params (z3obj_gnc x) (z3obj_gno x) (z3obj_gno p) let get_param_descrs ( x : fixedpoint ) = Params.ParamDescrs.param_descrs_of_ptr (z3obj_gc x) (Z3native.fixedpoint_get_param_descrs (z3obj_gnc x) (z3obj_gno x)) let assert_ ( x : fixedpoint ) ( constraints : Boolean.bool_expr list ) = let f e = (Z3native.fixedpoint_assert (z3obj_gnc x) (z3obj_gno x) (Boolean.gno e)) in ignore (List.map f constraints) ; () let register_relation ( x : fixedpoint ) ( f : func_decl ) = Z3native.fixedpoint_register_relation (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno f) let add_rule ( x : fixedpoint ) ( rule : Boolean.bool_expr ) ( name : Symbol.symbol option ) = match name with | None -> Z3native.fixedpoint_add_rule (z3obj_gnc x) (z3obj_gno x) (Boolean.gno rule) null | Some(y) -> Z3native.fixedpoint_add_rule (z3obj_gnc x) (z3obj_gno x) (Boolean.gno rule) (Symbol.gno y) let add_fact ( x : fixedpoint ) ( pred : func_decl ) ( args : int list ) = Z3native.fixedpoint_add_fact (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno pred) (List.length args) (Array.of_list args) let query ( x : fixedpoint ) ( query : Boolean.bool_expr ) = match (lbool_of_int (Z3native.fixedpoint_query (z3obj_gnc x) (z3obj_gno x) (Boolean.gno query))) with | L_TRUE -> Solver.SATISFIABLE | L_FALSE -> Solver.UNSATISFIABLE | _ -> Solver.UNKNOWN let query_r ( x : fixedpoint ) ( relations : func_decl list ) = let f x = ptr_of_ast (ast_of_func_decl x) in match (lbool_of_int (Z3native.fixedpoint_query_relations (z3obj_gnc x) (z3obj_gno x) (List.length relations) (Array.of_list (List.map f relations)))) with | L_TRUE -> Solver.SATISFIABLE | L_FALSE -> Solver.UNSATISFIABLE | _ -> Solver.UNKNOWN let push ( x : fixedpoint ) = Z3native.fixedpoint_push (z3obj_gnc x) (z3obj_gno x) let pop ( x : fixedpoint ) = Z3native.fixedpoint_pop (z3obj_gnc x) (z3obj_gno x) let update_rule ( x : fixedpoint ) ( rule : Boolean.bool_expr ) ( name : Symbol.symbol ) = Z3native.fixedpoint_update_rule (z3obj_gnc x) (z3obj_gno x) (Boolean.gno rule) (Symbol.gno name) let get_answer ( x : fixedpoint ) = let q = (Z3native.fixedpoint_get_answer (z3obj_gnc x) (z3obj_gno x)) in if (Z3native.is_null q) then None else Some (expr_of_ptr (z3obj_gc x) q) let get_reason_unknown ( x : fixedpoint ) = Z3native.fixedpoint_get_reason_unknown (z3obj_gnc x) (z3obj_gno x) let get_num_levels ( x : fixedpoint ) ( predicate : func_decl ) = Z3native.fixedpoint_get_num_levels (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno predicate) let get_cover_delta ( x : fixedpoint ) ( level : int ) ( predicate : func_decl ) = let q = (Z3native.fixedpoint_get_cover_delta (z3obj_gnc x) (z3obj_gno x) level (FuncDecl.gno predicate)) in if (Z3native.is_null q) then None else Some (expr_of_ptr (z3obj_gc x) q) let add_cover ( x : fixedpoint ) ( level : int ) ( predicate : func_decl ) ( property : expr ) = Z3native.fixedpoint_add_cover (z3obj_gnc x) (z3obj_gno x) level (FuncDecl.gno predicate) (ptr_of_expr property) let to_string ( x : fixedpoint ) = Z3native.fixedpoint_to_string (z3obj_gnc x) (z3obj_gno x) 0 [||] let set_predicate_representation ( x : fixedpoint ) ( f : func_decl ) ( kinds : Symbol.symbol list ) = Z3native.fixedpoint_set_predicate_representation (z3obj_gnc x) (z3obj_gno x) (FuncDecl.gno f) (List.length kinds) (Symbol.symbol_lton kinds) let to_string_q ( x : fixedpoint ) ( queries : Boolean.bool_expr list ) = let f x = ptr_of_expr (Boolean.expr_of_bool_expr x) in Z3native.fixedpoint_to_string (z3obj_gnc x) (z3obj_gno x) (List.length queries) (Array.of_list (List.map f queries)) let get_rules ( x : fixedpoint ) = let v = (AST.ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.fixedpoint_get_rules (z3obj_gnc x) (z3obj_gno x))) in let n = (AST.ASTVector.get_size v) in let f i = Boolean.bool_expr_of_expr (expr_of_ptr (z3obj_gc x) (z3obj_gno (AST.ASTVector.get v i))) in mk_list f n let get_assertions ( x : fixedpoint ) = let v = (AST.ASTVector.ast_vector_of_ptr (z3obj_gc x) (Z3native.fixedpoint_get_assertions (z3obj_gnc x) (z3obj_gno x))) in let n = (AST.ASTVector.get_size v) in let f i = Boolean.bool_expr_of_expr (expr_of_ptr (z3obj_gc x) (z3obj_gno (AST.ASTVector.get v i))) in mk_list f n let mk_fixedpoint ( ctx : context ) = create ctx end module Options = struct let update_param_value ( ctx : context ) ( id : string) ( value : string )= Z3native.update_param_value (context_gno ctx) id value let get_param_value ( ctx : context ) ( id : string ) = let (r, v) = (Z3native.get_param_value (context_gno ctx) id) in if not r then None else Some v let set_print_mode ( ctx : context ) ( value : ast_print_mode ) = Z3native.set_ast_print_mode (context_gno ctx) (int_of_ast_print_mode value) let toggle_warning_messages ( enabled: bool ) = Z3native.toggle_warning_messages enabled end module SMT = struct let benchmark_to_smtstring ( ctx : context ) ( name : string ) ( logic : string ) ( status : string ) ( attributes : string ) ( assumptions : Boolean.bool_expr list ) ( formula : Boolean.bool_expr ) = Z3native.benchmark_to_smtlib_string (context_gno ctx) name logic status attributes (List.length assumptions) (let f x = ptr_of_expr (Boolean.expr_of_bool_expr x) in (Array.of_list (List.map f assumptions))) (Boolean.gno formula) let parse_smtlib_string ( ctx : context ) ( str : string ) ( sort_names : Symbol.symbol list ) ( sorts : sort list ) ( decl_names : Symbol.symbol list ) ( decls : func_decl list ) = let csn = (List.length sort_names) in let cs = (List.length sorts) in let cdn = (List.length decl_names) in let cd = (List.length decls) in if (csn != cs || cdn != cd) then raise (Z3native.Exception "Argument size mismatch") else Z3native.parse_smtlib_string (context_gno ctx) str cs (Symbol.symbol_lton sort_names) (sort_lton sorts) cd (Symbol.symbol_lton decl_names) (let f x = FuncDecl.gno x in (Array.of_list (List.map f decls))) let parse_smtlib_file ( ctx : context ) ( file_name : string ) ( sort_names : Symbol.symbol list ) ( sorts : sort list ) ( decl_names : Symbol.symbol list ) ( decls : func_decl list ) = let csn = (List.length sort_names) in let cs = (List.length sorts) in let cdn = (List.length decl_names) in let cd = (List.length decls) in if (csn != cs || cdn != cd) then raise (Z3native.Exception "Argument size mismatch") else Z3native.parse_smtlib_file (context_gno ctx) file_name cs (Symbol.symbol_lton sort_names) (sort_lton sorts) cd (Symbol.symbol_lton decl_names) (let f x = FuncDecl.gno x in (Array.of_list (List.map f decls))) let get_num_smtlib_formulas ( ctx : context ) = Z3native.get_smtlib_num_formulas (context_gno ctx) let get_smtlib_formulas ( ctx : context ) = let n = (get_num_smtlib_formulas ctx ) in let f i = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.get_smtlib_formula (context_gno ctx) i)) in mk_list f n let get_num_smtlib_assumptions ( ctx : context ) = Z3native.get_smtlib_num_assumptions (context_gno ctx) let get_smtlib_assumptions ( ctx : context ) = let n = (get_num_smtlib_assumptions ctx ) in let f i = Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.get_smtlib_assumption (context_gno ctx) i)) in mk_list f n let get_num_smtlib_decls ( ctx : context ) = Z3native.get_smtlib_num_decls (context_gno ctx) let get_smtlib_decls ( ctx : context ) = let n = (get_num_smtlib_decls ctx) in let f i = func_decl_of_ptr ctx (Z3native.get_smtlib_decl (context_gno ctx) i) in mk_list f n let get_num_smtlib_sorts ( ctx : context ) = Z3native.get_smtlib_num_sorts (context_gno ctx) let get_smtlib_sorts ( ctx : context ) = let n = (get_num_smtlib_sorts ctx) in let f i = (sort_of_ptr ctx (Z3native.get_smtlib_sort (context_gno ctx) i)) in mk_list f n let parse_smtlib2_string ( ctx : context ) ( str : string ) ( sort_names : Symbol.symbol list ) ( sorts : sort list ) ( decl_names : Symbol.symbol list ) ( decls : func_decl list ) = let csn = (List.length sort_names) in let cs = (List.length sorts) in let cdn = (List.length decl_names) in let cd = (List.length decls) in if (csn != cs || cdn != cd) then raise (Z3native.Exception "Argument size mismatch") else Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.parse_smtlib2_string (context_gno ctx) str cs (Symbol.symbol_lton sort_names) (sort_lton sorts) cd (Symbol.symbol_lton decl_names) (let f x = FuncDecl.gno x in (Array.of_list (List.map f decls))))) let parse_smtlib2_file ( ctx : context ) ( file_name : string ) ( sort_names : Symbol.symbol list ) ( sorts : sort list ) ( decl_names : Symbol.symbol list ) ( decls : func_decl list ) = let csn = (List.length sort_names) in let cs = (List.length sorts) in let cdn = (List.length decl_names) in let cd = (List.length decls) in if (csn != cs || cdn != cd) then raise (Z3native.Exception "Argument size mismatch") else Boolean.bool_expr_of_expr (expr_of_ptr ctx (Z3native.parse_smtlib2_string (context_gno ctx) file_name cs (Symbol.symbol_lton sort_names) (sort_lton sorts) cd (Symbol.symbol_lton decl_names) (let f x = FuncDecl.gno x in (Array.of_list (List.map f decls))))) end let set_global_param ( id : string ) ( value : string ) = (Z3native.global_param_set id value) let get_global_param ( id : string ) = let (r, v) = (Z3native.global_param_get id) in if not r then None else Some v let global_param_reset_all = Z3native.global_param_reset_all