Source file dolmenexpr_to_expr.ml
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module DExpr = Dolmen_std.Expr
module DTy = DExpr.Ty
module DTerm = DExpr.Term
module DBuiltin = Dolmen_std.Builtin
module Builtin = struct
let string_ty_cst : DExpr.Term.ty_const =
DExpr.Id.mk ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "StringTy")
DExpr.{ arity = 0; alias = No_alias }
let string_ty = DTy.apply string_ty_cst []
let float32_ty = DTy.float 8 24
let float64_ty = DTy.float 11 53
let int_to_string : DExpr.term_cst =
DExpr.Id.mk ~name:"IntToString" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "IntToString")
(DTy.arrow [ DTy.int ] string_ty)
let string_to_int : DExpr.term_cst =
DExpr.Id.mk ~name:"StringToInt" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "StringToInt")
(DTy.arrow [ string_ty ] DTy.int)
let real_to_string : DExpr.term_cst =
DExpr.Id.mk ~name:"RealToString" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "RealToString")
(DTy.arrow [ DTy.real ] string_ty)
let string_to_real : DExpr.term_cst =
DExpr.Id.mk ~name:"StringToReal" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "StringToReal")
(DTy.arrow [ string_ty ] DTy.real)
let real_to_uint32 : DExpr.term_cst =
DExpr.Id.mk ~name:"RealToUInt32" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "RealToUInt32")
(DTy.arrow [ DTy.real ] DTy.real)
let trim_string : DExpr.term_cst =
DExpr.Id.mk ~name:"TrimString" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "TrimString")
(DTy.arrow [ string_ty ] string_ty)
let f32_to_string : DExpr.term_cst =
DExpr.Id.mk ~name:"F32ToString" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "F32ToString")
(DTy.arrow [ float32_ty ] string_ty)
let string_to_f32 : DExpr.term_cst =
DExpr.Id.mk ~name:"StringToF32" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "StringToF32")
(DTy.arrow [ string_ty ] float32_ty)
let f64_to_string : DExpr.term_cst =
DExpr.Id.mk ~name:"F64ToString" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "F64ToString")
(DTy.arrow [ float64_ty ] string_ty)
let string_to_f64 : DExpr.term_cst =
DExpr.Id.mk ~name:"StringToF64" ~builtin:DBuiltin.Base
(Dolmen_std.Path.global "StringToF64")
(DTy.arrow [ string_ty ] float64_ty)
end
module DolmenIntf = struct
include DTerm
type ty = DTy.t
type term = DTerm.t
type func_decl = DTerm.Const.t
let caches_consts = false
let true_ = DTerm._true
let false_ = DTerm._false
let int i = DTerm.Int.mk (string_of_int i)
let real r = DTerm.Real.mk (string_of_float r)
let const s ty = DTerm.of_cst (DTerm.Const.mk (Dolmen_std.Path.global s) ty)
let not_ = DTerm.neg
let and_ a b = DTerm._and [ a; b ]
let or_ a b = DTerm._or [ a; b ]
let logand = DTerm._and
let logor = DTerm._or
let get_vars_from_terms tl =
List.map
(fun (t : DTerm.t) ->
match t.term_descr with
| Var v -> v
| _ ->
Fmt.failwith {|Can't quantify non-variable term "%a"|} DTerm.print t )
tl
let forall tl t =
let tvl = get_vars_from_terms tl in
DTerm.all ([], tvl) t
let exists (tl : term list) t =
let tvl = get_vars_from_terms tl in
DTerm.ex ([], tvl) t
let nary_to_binary f tl =
let rec aux acc = function
| [] -> acc
| h :: t -> aux (DTerm.apply_cst f [] [ acc; h ]) t
in
match tl with
| h1 :: h2 :: t -> aux (DTerm.apply_cst f [] [ h1; h2 ]) t
| _ ->
Fmt.failwith {|%a applied to less than two terms|} DTerm.Const.print f
let int_of_term (t : DTerm.t) =
match t.term_descr with
| Cst { builtin = DBuiltin.Integer i; _ } ->
Z.to_int (Z.of_string i)
| _ ->
Fmt.failwith
{|int_of_term: expected a term that is an integer constant, instead got: %a|}
DTerm.print t
module Types = struct
include DTy
let ty = DTerm.ty
let to_ety (ty : DTy.t) : Ty.t =
match ty with
| { ty_descr = TyApp ({ builtin = DBuiltin.Int; _ }, _); _ } -> Ty_int
| { ty_descr = TyApp ({ builtin = DBuiltin.Real; _ }, _); _ } -> Ty_real
| { ty_descr = TyApp ({ builtin = DBuiltin.Prop; _ }, _); _ } -> Ty_bool
| { ty_descr =
TyApp
( { builtin = DBuiltin.Base
; path = Absolute { name = "StringTy"; _ }
; _
}
, _ )
; _
} ->
Ty_str
| { ty_descr = TyApp ({ builtin = DBuiltin.Bitv n; _ }, _); _ } ->
Ty_bitv n
| { ty_descr = TyApp ({ builtin = DBuiltin.Float (8, 24); _ }, _); _ } ->
Ty_fp 32
| { ty_descr = TyApp ({ builtin = DBuiltin.Float (11, 53); _ }, _); _ } ->
Ty_fp 64
| _ -> Fmt.failwith {|Unsupported dolmen type "%a"|} DTy.print ty
end
module Int = struct
include DTerm.Int
let neg = DTerm.Int.minus
end
module Real = struct
include DTerm.Real
let neg = DTerm.Real.minus
end
module String = struct
include DTerm.String
let v = DTerm.String.of_ustring
let to_re = DTerm.String.RegLan.of_string
let at t ~pos = DTerm.String.at t pos
let concat = nary_to_binary DTerm.Const.String.concat
let contains t ~sub = DTerm.String.contains t sub
let is_prefix t ~prefix = DTerm.String.is_prefix t prefix
let is_suffix t ~suffix = DTerm.String.is_suffix t suffix
let le = DTerm.String.leq
let sub t ~pos ~len = DTerm.String.sub t pos len
let index_of t ~sub ~pos = DTerm.String.index_of t sub pos
let replace t ~pattern ~with_ = DTerm.String.replace t pattern with_
end
module Re = struct
let star = DTerm.String.RegLan.star
let plus = DTerm.String.RegLan.cross
let opt = DTerm.String.RegLan.option
let comp = DTerm.String.RegLan.complement
let range = DTerm.String.RegLan.range
let loop t i1 i2 = DTerm.String.RegLan.loop i1 i2 t
let union = nary_to_binary DTerm.Const.String.Reg_Lang.union
let concat = nary_to_binary DTerm.Const.String.Reg_Lang.concat
end
module Bitv = struct
include DTerm.Bitv
let v bv n =
let bv = Z.format (Fmt.str "%c0%db" '%' n) (Z.of_string bv) in
DTerm.Bitv.mk bv
let lognot = DTerm.Bitv.not
let div = DTerm.Bitv.sdiv
let div_u = DTerm.Bitv.udiv
let logor = DTerm.Bitv.or_
let logand = DTerm.Bitv.and_
let logxor = DTerm.Bitv.xor
let shl = DTerm.Bitv.shl
let ashr = DTerm.Bitv.ashr
let lshr = DTerm.Bitv.lshr
let rem = DTerm.Bitv.srem
let rem_u = DTerm.Bitv.urem
let rotate_left t1 t2 = DTerm.Bitv.rotate_left (int_of_term t1) t2
let rotate_right t1 t2 = DTerm.Bitv.rotate_right (int_of_term t1) t2
let lt t1 t2 = DTerm.Bitv.slt t1 t2
let lt_u t1 t2 = DTerm.Bitv.ult t1 t2
let le = DTerm.Bitv.sle
let le_u = DTerm.Bitv.ule
let gt t1 t2 = DTerm.Bitv.sgt t1 t2
let gt_u t1 t2 = DTerm.Bitv.ugt t1 t2
let ge = DTerm.Bitv.sge
let ge_u = DTerm.Bitv.uge
let t ~high ~low = DTerm.Bitv.extract high low t
end
module Float = struct
include DTerm.Float
module Rounding_mode = struct
let rne = DTerm.Float.roundNearestTiesToEven
let rna = DTerm.Float.roundNearestTiesToAway
let rtp = DTerm.Float.roundTowardPositive
let rtn = DTerm.Float.roundTowardNegative
let rtz = DTerm.Float.roundTowardZero
end
let v f e s =
DTerm.Float.real_to_fp e s DTerm.Float.roundTowardZero
(DTerm.Real.mk (Prelude.Float.to_string f))
let sqrt ~rm t = DTerm.Float.sqrt rm t
let is_nan = DTerm.Float.isNaN
let round_to_integral ~rm t = DTerm.Float.roundToIntegral rm t
let add ~rm t1 t2 = DTerm.Float.add rm t1 t2
let sub ~rm t1 t2 = DTerm.Float.sub rm t1 t2
let mul ~rm t1 t2 = DTerm.Float.mul rm t1 t2
let div ~rm t1 t2 = DTerm.Float.div rm t1 t2
let le = DTerm.Float.leq
let ge = DTerm.Float.geq
let to_fp e s ~rm fp = DTerm.Float.to_fp e s rm fp
let sbv_to_fp e s ~rm bv = DTerm.Float.sbv_to_fp e s rm bv
let ubv_to_fp e s ~rm bv = DTerm.Float.ubv_to_fp e s rm bv
let to_ubv n ~rm fp = DTerm.Float.to_ubv n rm fp
let to_sbv n ~rm fp = DTerm.Float.to_sbv n rm fp
let of_ieee_bv _eb _sb _bv = assert false
let to_ieee_bv _fp = assert false
end
module Func = struct
let make name tyl ty =
DTerm.Const.mk (Dolmen_std.Path.global name) (DTy.arrow tyl ty)
let apply f tl = DTerm.apply_cst f [] tl
end
module Smtlib = struct
let pp ?name:_ ?logic:_ ?status:_ = Fmt.list DTerm.print
end
end
let tty_of_etype (e : Ty.t) : DTy.t =
match e with
| Ty_int -> DTy.int
| Ty_real -> DTy.real
| Ty_bool -> DTy.bool
| Ty_str -> Builtin.string_ty
| Ty_bitv 8 -> DTy.bitv 8
| Ty_bitv 32 -> DTy.bitv 32
| Ty_bitv 64 -> DTy.bitv 64
| Ty_fp 32 -> Builtin.float32_ty
| Ty_fp 64 -> Builtin.float64_ty
| Ty_fp _ | Ty_bitv _ | Ty_list | Ty_app | Ty_unit | Ty_none | Ty_regexp ->
Fmt.failwith {|Unsupported type "%a"|} Ty.pp e
let tty_to_etype (ty : DTy.t) : Ty.t =
match ty with
| { ty_descr = TyApp ({ builtin = DBuiltin.Int; _ }, _); _ } -> Ty_int
| { ty_descr = TyApp ({ builtin = DBuiltin.Real; _ }, _); _ } -> Ty_real
| { ty_descr = TyApp ({ builtin = DBuiltin.Prop; _ }, _); _ } -> Ty_bool
| { ty_descr =
TyApp
( { builtin = DBuiltin.Base
; path = Absolute { name = "StringTy"; _ }
; _
}
, _ )
; _
} ->
Ty_str
| { ty_descr = TyApp ({ builtin = DBuiltin.Bitv n; _ }, _); _ } -> Ty_bitv n
| { ty_descr = TyApp ({ builtin = DBuiltin.Float (8, 24); _ }, _); _ } ->
Ty_fp 32
| { ty_descr = TyApp ({ builtin = DBuiltin.Float (11, 53); _ }, _); _ } ->
Ty_fp 64
| _ -> Fmt.failwith {|Unsupported dolmen type "%a"|} DTy.print ty
module SHT = Hashtbl.Make (struct
include Symbol
let hash = Hashtbl.hash
end)
let sym_cache = SHT.create 17
let tcst_of_symbol (s : Symbol.t) =
match SHT.find_opt sym_cache s with
| None ->
let x = Symbol.to_string s
and t = Symbol.type_of s in
let cst = DTerm.Const.mk (Dolmen_std.Path.global x) (tty_of_etype t) in
SHT.add sym_cache s cst;
cst
| Some c -> c
let tcst_to_symbol (c : DExpr.term_cst) : Symbol.t =
match c with
| { builtin = DBuiltin.Base
; path = Local { name } | Absolute { name; _ }
; id_ty
; _
} ->
Symbol.make (tty_to_etype id_ty) name
| _ -> Fmt.failwith {|Unsupported constant term "%a"|} DExpr.Print.term_cst c
type expr = DTerm.t
module I = struct
open Ty
let encode_val i = DTerm.Int.mk (Int.to_string i)
let encode_unop op e =
let op' =
match op with
| Unop.Neg -> DTerm.Int.minus
| _ -> Fmt.failwith {|Int: Unsupported unop operator "%a"|} Unop.pp op
in
op' e
let encode_binop op e1 e2 =
let op' =
match op with
| Binop.Add -> DTerm.Int.add
| Sub -> DTerm.Int.sub
| Mul -> DTerm.Int.mul
| Div -> DTerm.Int.div
| Rem -> DTerm.Int.rem
| Pow ->
fun _e1 _e2 -> assert false
| _ -> Fmt.failwith "{|Unsupported binop operation %a|}" Binop.pp op
in
op' e1 e2
let encode_relop op e1 e2 =
let op' =
match op with
| Relop.Eq -> DTerm.eq
| Ne -> DTerm.neq
| Lt -> DTerm.Int.lt
| Gt -> DTerm.Int.gt
| Le -> DTerm.Int.le
| Ge -> DTerm.Int.ge
| _ -> Fmt.failwith {|Arith: Unsupported relop operator "%a"|} Relop.pp op
in
op' e1 e2
let encode_cvtop op e =
let op' =
match op with
| Cvtop.ToString ->
fun v -> DTerm.apply_cst Builtin.int_to_string [] [ v ]
| OfString -> fun v -> DTerm.apply_cst Builtin.string_to_int [] [ v ]
| _ -> Fmt.failwith {|Int: Unsupported cvtop operator "%a"|} Cvtop.pp op
in
op' e
let encode_triop op _ _ _ =
Fmt.failwith {|Arith: Unsupported triop operator "%a"|} Triop.pp op
end
module Real = struct
open Ty
let encode_val f = DTerm.Real.mk (Float.to_string f)
let encode_unop op e =
let op' =
match op with
| Unop.Neg -> DTerm.Real.minus
| Abs -> assert false
| Sqrt -> assert false
| Ceil ->
fun _e -> assert false
| Floor -> DTerm.Real.floor
| Nearest | Is_nan | _ ->
Fmt.failwith {|Real: Unsupported cvtop operator "%a"|} Unop.pp op
in
op' e
let encode_binop op e1 e2 =
let op' =
match op with
| Binop.Add -> DTerm.Real.add
| Sub -> DTerm.Real.sub
| Mul -> DTerm.Real.mul
| Div -> DTerm.Real.div
| Min -> fun e1 e2 -> DTerm.ite (DTerm.Real.le e1 e2) e1 e2
| Max -> fun e1 e2 -> DTerm.ite (DTerm.Real.le e1 e2) e2 e1
| _ -> Fmt.failwith {|Real: Unsupported binop operator "%a"|} Binop.pp op
in
op' e1 e2
let encode_relop op e1 e2 =
let op' =
match op with
| Relop.Eq -> DTerm.eq
| Ne -> DTerm.neq
| Lt -> DTerm.Real.lt
| Gt -> DTerm.Real.gt
| Le -> DTerm.Real.le
| Ge -> DTerm.Real.ge
| _ -> Fmt.failwith {|Arith: Unsupported relop operator "%a"|} Relop.pp op
in
op' e1 e2
let encode_cvtop op e =
let op' =
match op with
| Cvtop.ToString ->
fun v -> DTerm.apply_cst Builtin.real_to_string [] [ v ]
| OfString -> fun v -> DTerm.apply_cst Builtin.string_to_real [] [ v ]
| ConvertUI32 -> fun t -> DTerm.apply_cst Builtin.real_to_uint32 [] [ t ]
| Reinterpret_int -> DTerm.Int.to_real
| _ -> Fmt.failwith {|Real: Unsupported cvtop operator "%a"|} Cvtop.pp op
in
op' e
let encode_triop op _ _ _ =
Fmt.failwith {|Arith: Unsupported triop operator "%a"|} Triop.pp op
end
module Boolean = struct
open Ty
let encode_unop op e =
let op' =
match op with
| Unop.Not -> DTerm.neg
| _ -> Fmt.failwith {|Bool: Unsupported unop operator "%a"|} Unop.pp op
in
op' e
let encode_binop op e1 e2 =
let op' =
match op with
| Binop.And -> fun a b -> DTerm._and [ a; b ]
| Or -> fun a b -> DTerm._or [ a; b ]
| Xor -> DTerm.xor
| _ -> Fmt.failwith {|Bool: Unsupported binop operator "%a"|} Binop.pp op
in
op' e1 e2
let encode_relop op e1 e2 =
let op' =
match op with
| Relop.Eq -> DTerm.eq
| Ne -> DTerm.neq
| _ -> Fmt.failwith {|Bool: Unsupported relop operator "%a"|} Relop.pp op
in
op' e1 e2
let encode_cvtop op _ =
Fmt.failwith {|Bool: Unsupported cvtop operator "%a"|} Cvtop.pp op
let encode_triop op e1 e2 e3 =
let op' =
match op with
| Triop.Ite -> DTerm.ite
| _ -> Fmt.failwith {|Bool: Unsupported triop operator "%a"|} Triop.pp op
in
op' e1 e2 e3
end
module Str = struct
open Ty
let encode_unop op _ =
Fmt.failwith {|Str: Unsupported unop operator "%a"|} Unop.pp op
let encode_binop op _ _ =
Fmt.failwith {|Str: Unsupported binop operator "%a"|} Binop.pp op
let encode_relop op =
let op' =
match op with
| Relop.Eq -> DTerm.eq
| Ne -> DTerm.neq
| _ -> Fmt.failwith {|Str: Unsupported relop operator "%a"|} Relop.pp op
in
op'
let encode_triop op _ _ _ =
Fmt.failwith {|Str: Unsupported triop operator "%a"|} Triop.pp op
let encode_cvtop op _ =
Fmt.failwith {|Str: Unsupported cvtop operator "%a"|} Cvtop.pp op
end
module Bv = struct
open Ty
let encode_val (type a) (cast : a Ty.cast) (i : a) =
match cast with
| C8 ->
let n = if i >= 0 then i else i land ((1 lsl 8) - 1) in
DTerm.Bitv.mk
(Dolmen_type.Misc.Bitv.parse_decimal
(String.cat "bv" (Int.to_string n))
8 )
| C32 ->
let iint = Int32.to_int i in
let n = if iint >= 0 then iint else iint land ((1 lsl 32) - 1) in
DTerm.Bitv.mk
(Dolmen_type.Misc.Bitv.parse_decimal
(String.cat "bv" (Int.to_string n))
32 )
| C64 ->
let n =
if Int64.compare i Int64.zero >= 0 then Z.of_int64 i
else Z.logand (Z.of_int64 i) (Z.sub (Z.( lsl ) Z.one 64) Z.one)
in
DTerm.Bitv.mk
(Dolmen_type.Misc.Bitv.parse_decimal
(String.cat "bv" (Z.to_string n))
64 )
let encode_unop op e =
let op' =
match op with
| Unop.Not -> DTerm.Bitv.not
| Neg -> DTerm.Bitv.neg
| _ -> Fmt.failwith {|Bv: UNsupported unary operator "%a"|} Unop.pp op
in
op' e
let encode_binop op e1 e2 =
let op' =
match op with
| Binop.Add -> DTerm.Bitv.add
| Sub -> DTerm.Bitv.sub
| Mul -> DTerm.Bitv.mul
| Div -> DTerm.Bitv.sdiv
| DivU -> DTerm.Bitv.udiv
| And -> DTerm.Bitv.and_
| Xor -> DTerm.Bitv.xor
| Or -> DTerm.Bitv.or_
| ShrA -> DTerm.Bitv.ashr
| ShrL -> DTerm.Bitv.lshr
| Shl -> DTerm.Bitv.shl
| Rem -> DTerm.Bitv.srem
| RemU -> DTerm.Bitv.urem
| _ -> Fmt.failwith {|Bv: Unsupported binary operator "%a"|} Binop.pp op
in
op' e1 e2
let encode_triop op _ =
Fmt.failwith {|Bv: Unsupported triop operator "%a"|} Triop.pp op
let encode_relop op e1 e2 =
let op' =
match op with
| Relop.Eq -> DTerm.eq
| Ne -> DTerm.neq
| Lt -> DTerm.Bitv.slt
| LtU -> DTerm.Bitv.ult
| Le -> DTerm.Bitv.sle
| LeU -> DTerm.Bitv.ule
| Gt -> DTerm.Bitv.sgt
| GtU -> DTerm.Bitv.ugt
| Ge -> DTerm.Bitv.sge
| GeU -> DTerm.Bitv.uge
in
op' e1 e2
let encode_cvtop sz op e =
let op' =
match op with
| Cvtop.Sign_extend n -> DTerm.Bitv.sign_extend n
| Zero_extend n -> DTerm.Bitv.zero_extend n
| (TruncSF32 | TruncSF64) when sz = 32 ->
DTerm.Float.to_sbv 32 DTerm.Float.roundTowardZero
| (TruncSF32 | TruncSF64) when sz = 64 ->
DTerm.Float.to_sbv 64 DTerm.Float.roundTowardZero
| (TruncUF32 | TruncUF64) when sz = 32 ->
DTerm.Float.to_ubv 32 DTerm.Float.roundTowardZero
| (TruncUF32 | TruncUF64) when sz = 64 ->
DTerm.Float.to_ubv 64 DTerm.Float.roundTowardZero
| Reinterpret_float when sz = 32 -> DTerm.Float.ieee_format_to_fp 8 24
| Reinterpret_float when sz = 64 -> DTerm.Float.ieee_format_to_fp 11 53
| ToBool when sz = 32 -> encode_relop Ne (encode_val C32 0l)
| ToBool when sz = 64 -> encode_relop Ne (encode_val C64 0L)
| OfBool when sz = 32 ->
fun e -> DTerm.ite e (encode_val C32 1l) (encode_val C32 0l)
| OfBool when sz = 64 ->
fun e -> DTerm.ite e (encode_val C64 1L) (encode_val C64 0L)
| _ -> Fmt.failwith {|Bv: Unsupported bv(32) operator "%a"|} Cvtop.pp op
in
op' e
end
module Fp = struct
open Ty
let encode_val (type a) (sz : a Ty.cast) (f : a) =
match sz with
| C8 -> Fmt.failwith "Unable to create FP numeral using 8 bits"
| C32 -> DTerm.Float.ieee_format_to_fp 8 24 (Bv.encode_val C32 f)
| C64 -> DTerm.Float.ieee_format_to_fp 11 53 (Bv.encode_val C64 f)
let encode_unop op e =
let op' =
match op with
| Unop.Neg -> DTerm.Float.neg
| Abs -> DTerm.Float.abs
| Sqrt -> DTerm.Float.sqrt DTerm.Float.roundNearestTiesToEven
| Is_nan -> DTerm.Float.isNaN
| Ceil -> DTerm.Float.roundToIntegral DTerm.Float.roundTowardPositive
| Floor -> DTerm.Float.roundToIntegral DTerm.Float.roundTowardNegative
| Trunc -> DTerm.Float.roundToIntegral DTerm.Float.roundTowardZero
| Nearest ->
DTerm.Float.roundToIntegral DTerm.Float.roundNearestTiesToEven
| _ -> Fmt.failwith {|Fp: Unsupported unary operator "%a"|} Unop.pp op
in
op' e
let encode_binop op e1 e2 =
let op' =
match op with
| Binop.Add -> DTerm.Float.add DTerm.Float.roundNearestTiesToEven
| Sub -> DTerm.Float.sub DTerm.Float.roundNearestTiesToEven
| Mul -> DTerm.Float.mul DTerm.Float.roundNearestTiesToEven
| Div -> DTerm.Float.div DTerm.Float.roundNearestTiesToEven
| Min -> DTerm.Float.min
| Max -> DTerm.Float.max
| Rem -> DTerm.Float.rem
| Copysign ->
fun e1 e2 ->
let abs_float = DTerm.Float.abs e1 in
let zero =
match DTerm.ty e1 with
| { ty_descr = TyApp ({ builtin = DBuiltin.Float (e, s); _ }, _)
; _
} ->
DTerm.Float.plus_zero e s
| _ -> assert false
in
DTerm.ite (DTerm.Float.geq e2 zero) abs_float
(DTerm.Float.neg abs_float)
| _ -> Fmt.failwith {|Fp: Unsupported binop operator "%a"|} Binop.pp op
in
op' e1 e2
let encode_triop op _ =
Fmt.failwith {|Fp: Unsupported triop operator "%a"|} Triop.pp op
let encode_relop op e1 e2 =
let op' =
match op with
| Relop.Eq -> DTerm.Float.eq
| Ne -> fun e1 e2 -> DTerm.Float.eq e1 e2 |> DTerm.neg
| Lt -> DTerm.Float.lt
| Le -> DTerm.Float.leq
| Gt -> DTerm.Float.gt
| Ge -> DTerm.Float.geq
| _ -> Fmt.failwith {|Fp: Unsupported relop operator "%a"|} Relop.pp op
in
op' e1 e2
let encode_cvtop sz op e =
let op' =
match sz with
| 32 -> (
match op with
| Cvtop.DemoteF64 ->
DTerm.Float.to_fp 8 24 DTerm.Float.roundNearestTiesToEven
| ConvertSI32 | ConvertSI64 ->
DTerm.Float.sbv_to_fp 8 24 DTerm.Float.roundNearestTiesToEven
| ConvertUI32 | ConvertUI64 ->
DTerm.Float.ubv_to_fp 8 24 DTerm.Float.roundNearestTiesToEven
| Reinterpret_int -> DTerm.Float.ieee_format_to_fp 8 24
| ToString -> fun v -> DTerm.apply_cst Builtin.f32_to_string [] [ v ]
| OfString -> fun v -> DTerm.apply_cst Builtin.string_to_f32 [] [ v ]
| _ -> Fmt.failwith {|Fp: Unsupported fp(32) operator "%a"|} Cvtop.pp op
)
| 64 -> (
match op with
| PromoteF32 ->
DTerm.Float.to_fp 11 53 DTerm.Float.roundNearestTiesToEven
| ConvertSI32 | ConvertSI64 ->
DTerm.Float.sbv_to_fp 11 53 DTerm.Float.roundNearestTiesToEven
| ConvertUI32 | ConvertUI64 ->
DTerm.Float.ubv_to_fp 11 53 DTerm.Float.roundNearestTiesToEven
| Reinterpret_int -> DTerm.Float.ieee_format_to_fp 11 53
| ToString -> fun v -> DTerm.apply_cst Builtin.f64_to_string [] [ v ]
| OfString -> fun v -> DTerm.apply_cst Builtin.string_to_f64 [] [ v ]
| _ -> Fmt.failwith {|Fp: Unsupported fp(64) operator "%a"|} Cvtop.pp op
)
| _ -> Fmt.failwith {|Fp: Unsupported operator "%a"|} Cvtop.pp op
in
op' e
end
let encode_val : Value.t -> expr = function
| True -> DTerm.of_cst DTerm.Const._true
| False -> DTerm.of_cst DTerm.Const._false
| Int v -> I.encode_val v
| Real v -> Real.encode_val v
| Str _ -> assert false
| Bitv bv when Bitvector.numbits bv = 8 ->
Bv.encode_val C8 (Z.to_int (Bitvector.view bv))
| Bitv bv when Bitvector.numbits bv = 32 ->
Bv.encode_val C32 (Bitvector.to_int32 bv)
| Bitv bv when Bitvector.numbits bv = 64 ->
Bv.encode_val C64 (Bitvector.to_int64 bv)
| Num (F32 x) -> Fp.encode_val C32 x
| Num (F64 x) -> Fp.encode_val C64 x
| v -> Fmt.failwith {|Unsupported value "%a"|} Value.pp v
let encode_unop (ty : Ty.t) =
match ty with
| Ty_int -> I.encode_unop
| Ty_real -> Real.encode_unop
| Ty_bool -> Boolean.encode_unop
| Ty_str -> Str.encode_unop
| Ty_bitv _ -> Bv.encode_unop
| Ty_fp _ -> Fp.encode_unop
| (Ty_list | Ty_app | Ty_unit | Ty_none | Ty_regexp) as op ->
Fmt.failwith {|Trying to encode unsupported op of type %a|} Ty.pp op
let encode_binop (ty : Ty.t) =
match ty with
| Ty_int -> I.encode_binop
| Ty_real -> Real.encode_binop
| Ty_bool -> Boolean.encode_binop
| Ty_str -> Str.encode_binop
| Ty_bitv _ -> Bv.encode_binop
| Ty_fp _ -> Fp.encode_binop
| (Ty_list | Ty_app | Ty_unit | Ty_none | Ty_regexp) as op ->
Fmt.failwith "Trying to encode unsupported op of type %a" Ty.pp op
let encode_triop (ty : Ty.t) =
match ty with
| Ty_int -> I.encode_triop
| Ty_real -> Real.encode_triop
| Ty_bool -> Boolean.encode_triop
| Ty_str -> Str.encode_triop
| Ty_bitv _ -> Bv.encode_triop
| Ty_fp _ -> Fp.encode_triop
| (Ty_list | Ty_app | Ty_unit | Ty_none | Ty_regexp) as op ->
Fmt.failwith "Trying to encode unsupported op of type %a" Ty.pp op
let encode_relop (ty : Ty.t) =
match ty with
| Ty_int -> I.encode_relop
| Ty_real -> Real.encode_relop
| Ty_bool -> Boolean.encode_relop
| Ty_str -> Str.encode_relop
| Ty_bitv _ -> Bv.encode_relop
| Ty_fp _ -> Fp.encode_relop
| (Ty_list | Ty_app | Ty_unit | Ty_none | Ty_regexp) as op ->
Fmt.failwith "Trying to encode unsupported op of type %a" Ty.pp op
let encode_cvtop (ty : Ty.t) =
match ty with
| Ty_int -> I.encode_cvtop
| Ty_real -> Real.encode_cvtop
| Ty_bool -> Boolean.encode_cvtop
| Ty_str -> Str.encode_cvtop
| Ty_bitv sz -> Bv.encode_cvtop sz
| Ty_fp sz -> Fp.encode_cvtop sz
| (Ty_list | Ty_app | Ty_unit | Ty_none | Ty_regexp) as op ->
Fmt.failwith "Trying to encode unsupported op of type %a" Ty.pp op
let encode_expr_acc ?(record_sym = fun acc _ -> acc) acc e =
let rec aux acc (e : Expr.t) =
match Expr.view e with
| Val v -> (acc, encode_val v)
| Ptr { base; offset } ->
let base' = encode_val (Bitv (Bitvector.of_int32 base)) in
let acc, offset' = aux acc offset in
(acc, DTerm.Bitv.add base' offset')
| Symbol s ->
let cst = tcst_of_symbol s in
let acc = record_sym acc cst in
(acc, DTerm.of_cst cst)
| Unop (ty, op, e) ->
let acc, e' = aux acc e in
(acc, encode_unop ty op e')
| Binop (ty, op, e1, e2) ->
let acc, e1' = aux acc e1 in
let acc, e2' = aux acc e2 in
(acc, encode_binop ty op e1' e2')
| Triop (ty, op, e1, e2, e3) ->
let acc, e1' = aux acc e1 in
let acc, e2' = aux acc e2 in
let acc, e3' = aux acc e3 in
(acc, encode_triop ty op e1' e2' e3')
| Relop (ty, op, e1, e2) ->
let acc, e1' = aux acc e1 in
let acc, e2' = aux acc e2 in
(acc, encode_relop ty op e1' e2')
| Cvtop (ty, op, e) ->
let acc, e' = aux acc e in
(acc, encode_cvtop ty op e')
| Extract (e, h, l) ->
let acc, e' = aux acc e in
(acc, DTerm.Bitv.extract ((h * 8) - 1) (l * 8) e')
| Concat (e1, e2) ->
let acc, e1' = aux acc e1 in
let acc, e2' = aux acc e2 in
(acc, DTerm.Bitv.concat e1' e2')
| Naryop _ | List _ | App _ | Binder _ ->
Fmt.failwith {|Unsupported expr %a|} Expr.pp e
in
aux acc e
let encode_expr ?(record_sym = fun _ -> ()) e =
snd (encode_expr_acc ~record_sym:(fun () -> record_sym) () e)