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-rw-r--r--src/extraction/extrNative.ml344
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diff --git a/src/extraction/extrNative.ml b/src/extraction/extrNative.ml
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-(**************************************************************************)
-(* *)
-(* SMTCoq *)
-(* Copyright (C) 2011 - 2022 *)
-(* *)
-(* See file "AUTHORS" for the list of authors *)
-(* *)
-(* This file is distributed under the terms of the CeCILL-C licence *)
-(* *)
-(**************************************************************************)
-
-
-type comparison = Eq | Lt | Gt
-
-type 'a carry = C0 of 'a | C1 of 'a
-
-type uint = int
-
- (* to be used only on 32 bits achitectures *)
-let maxuint31 = Int32.of_string "0x7FFFFFFF"
-let uint_32 i = Int32.logand (Int32.of_int i) maxuint31
-
-let select f32 f64 = if Sys.word_size = 64 then f64 else f32
-
- (* conversion to an int *)
-let to_int i = i
-
-let of_int_32 i = i
-let of_int_64 i = i land 0x7FFFFFFF
-
-let of_int = select of_int_32 of_int_64
-let of_uint i = i
-
- (* convertion of an uint31 to a string *)
-let to_string_32 i = Int32.to_string (uint_32 i)
-let to_string_64 = string_of_int
-
-let to_string = select to_string_32 to_string_64
-let of_string s =
- let i32 = Int32.of_string s in
- if Int32.compare Int32.zero i32 <= 0
- && Int32.compare i32 maxuint31 <= 0
- then Int32.to_int i32
- else raise (Failure "int_of_string")
-
-
-
- (* logical shift *)
-let l_sl x y =
- of_int (if 0 <= y && y < 31 then x lsl y else 0)
-
-let l_sr x y =
- if 0 <= y && y < 31 then x lsr y else 0
-
-let l_and x y = x land y
-let l_or x y = x lor y
-let l_xor x y = x lxor y
-
- (* addition of int31 *)
-let add x y = of_int (x + y)
-
- (* subtraction *)
-let sub x y = of_int (x - y)
-
- (* multiplication *)
-let mul x y = of_int (x * y)
-
- (* exact multiplication *)
-let mulc_32 x y =
- let x = Int64.of_int32 (uint_32 x) in
- let y = Int64.of_int32 (uint_32 y) in
- let m = Int64.mul x y in
- let l = Int64.to_int m in
- let h = Int64.to_int (Int64.shift_right_logical m 31) in
- h,l
-
-let mulc_64 x y =
- let m = x * y in
- let l = of_int_64 m in
- let h = of_int_64 (m lsr 31) in
- h, l
-let mulc = select mulc_32 mulc_64
-
- (* division *)
-let div_32 x y =
- if y = 0 then 0 else
- Int32.to_int (Int32.div (uint_32 x) (uint_32 y))
-let div_64 x y = if y = 0 then 0 else x / y
-let div = select div_32 div_64
-
- (* modulo *)
-let rem_32 x y =
- if y = 0 then 0
- else Int32.to_int (Int32.rem (uint_32 x) (uint_32 y))
-let rem_64 x y = if y = 0 then 0 else x mod y
-let rem = select rem_32 rem_64
-
- (* division of two numbers by one *)
-let div21_32 xh xl y =
- if y = 0 then (0,0)
- else
- let x =
- Int64.logor
- (Int64.shift_left (Int64.of_int32 (uint_32 xh)) 31)
- (Int64.of_int32 (uint_32 xl)) in
- let y = Int64.of_int32 (uint_32 y) in
- let q = Int64.div x y in
- let r = Int64.rem x y in
- Int64.to_int q, Int64.to_int r
-let div21_64 xh xl y =
- if y = 0 then (0,0)
- else
- let x = (xh lsl 31) lor xl in
- let q = x / y in
- let r = x mod y in
- q, r
-let div21 = select div21_32 div21_64
-
- (* comparison *)
-let lt_32 x y = (x lxor 0x40000000) < (y lxor 0x40000000)
-(* if 0 <= x then
- if 0 <= y then x < y
- else true
- else if 0 <= y then false
- else x < y *)
-(* Int32.compare (uint_32 x) (uint_32 y) < 0 *)
-
-let lt_64 x y = x < y
-let lt = select lt_32 lt_64
-
-let le_32 x y =
- (x lxor 0x40000000) <= (y lxor 0x40000000)
-(*
- if 0 <= x then
- if 0 <= y then x <= y
- else true
- else if 0 <= y then false
- else x <= y
-*)
-(*Int32.compare (uint_32 x) (uint_32 y) <= 0*)
-let le_64 x y = x <= y
-let le = select le_32 le_64
-
-let eq x y = x == y
-
-let cmp_32 x y = Int32.compare (uint_32 x) (uint_32 y)
-let cmp_64 x y = compare x y
-let compare = select cmp_32 cmp_64
-
-let compare x y =
- match compare x y with
- | x when x < 0 -> Lt
- | 0 -> Eq
- | _ -> Gt
-
- (* head tail *)
-
-let head0 x =
- let r = ref 0 in
- let x = ref x in
- if !x land 0x7FFF0000 = 0 then r := !r + 15
- else x := !x lsr 15;
- if !x land 0xFF00 = 0 then (x := !x lsl 8; r := !r + 8);
- if !x land 0xF000 = 0 then (x := !x lsl 4; r := !r + 4);
- if !x land 0xC000 = 0 then (x := !x lsl 2; r := !r + 2);
- if !x land 0x8000 = 0 then (x := !x lsl 1; r := !r + 1);
- if !x land 0x8000 = 0 then ( r := !r + 1);
- !r;;
-
-let tail0 x =
- let r = ref 0 in
- let x = ref x in
- if !x land 0xFFFF = 0 then (x := !x lsr 16; r := !r + 16);
- if !x land 0xFF = 0 then (x := !x lsr 8; r := !r + 8);
- if !x land 0xF = 0 then (x := !x lsr 4; r := !r + 4);
- if !x land 0x3 = 0 then (x := !x lsr 2; r := !r + 2);
- if !x land 0x1 = 0 then ( r := !r + 1);
- !r
-
-let addc x y =
- let s = add x y in
- if lt s x then C1 s else C0 s
-
-let addcarryc x y =
- let s = add (x+1) y in
- if le s x then C1 s else C0 s
-
-let subc x y =
- let s = sub x y in
- if lt x y then C1 s else C0 s
-
-let subcarryc x y =
- let s = sub (x-1) y in
- if le x y then C1 s else C0 s
-
-let diveucl x y = div x y, rem x y
-
-let diveucl_21 = div21
-
-let addmuldiv p i j =
- let p' = to_int p in
- of_uint (l_or
- (l_sl i p)
- (l_sr j (of_int (31 - p'))))
-
-let rec foldi_cont f min max cont a =
- if lt min max then f min (foldi_cont f (add min 1) max cont) a
- else if min = max then f min cont a
- else cont a
-
-let rec foldi_down_cont f max min cont a =
- if lt min max then
- f max (foldi_down_cont f (sub max 1) min cont) a
- else if min = max then f min cont a
- else cont a
-
-let print_uint x =
- Printf.fprintf stderr "%s" (to_string x);
- flush stderr;
- x
-
-(* Les Tableaux maintenant *)
-
-let max_array_length32 = 4194303 (* Sys.max_array_length on arch32 *)
-
-type 'a parray = ('a kind) ref
-and 'a kind =
- | Array of 'a array
- (* | Matrix of 'a array array *)
- | Updated of int * 'a * 'a parray
-
-let of_array t = ref (Array t)
-
-let parray_make n def =
- let n = to_int n in
- let n =
- if 0 <= n && n < max_array_length32 then n + 1
- else max_array_length32 in
- ref (Array (Array.make n def))
-
-let rec get_updated p n =
- match !p with
- | Array t ->
- let l = Array.length t in
- if 0 <= n && n < l then Array.unsafe_get t n
- else (Array.unsafe_get t (l-1))
- | Updated (k,e,p) -> if n = k then e else get_updated p n
-
-let parray_get p n =
- let n = to_int n in
- match !p with
- | Array t ->
- let l = Array.length t in
- if 0 <= n && n < l then Array.unsafe_get t n
- else (Array.unsafe_get t (l-1))
- | Updated _ -> get_updated p n
-
-
-let rec default_updated p =
- match !p with
- | Array t -> Array.unsafe_get t (Array.length t - 1)
- | Updated (_,_,p) -> default_updated p
-
-let parray_default p =
- match !p with
- | Array t -> Array.unsafe_get t (Array.length t - 1)
- | Updated (_,_,p) -> default_updated p
-
-let rec length p =
- match !p with
- | Array t -> of_int (Array.length t - 1) (* The default value *)
- | Updated (_, _, p) -> length p
-
-let parray_length p =
- match !p with
- | Array t -> of_int (Array.length t - 1)
- | Updated (_, _, p) -> length p
-
-let parray_set p n e =
- let kind = !p in
- let n = to_int n in
- match kind with
- | Array t ->
- if 0 <= n && n < Array.length t - 1 then
- let res = ref kind in
- p := Updated (n, Array.unsafe_get t n, res);
- Array.unsafe_set t n e;
- res
- else p
- | Updated _ ->
- if 0 <= n && n < to_int (parray_length p) then
- ref (Updated(n, e, p))
- else p
-
-
-let rec copy_updated p =
- match !p with
- | Array t -> Array.copy t
- | Updated (n,e,p) ->
- let t = copy_updated p in
- Array.unsafe_set t n e; t
-
-let parray_copy p =
- let t =
- match !p with
- | Array t -> Array.copy t
- | Updated _ -> copy_updated p in
- ref (Array t)
-
-let rec rerootk t k =
- match !t with
- | Array _ -> k ()
- | Updated (i, v, t') ->
- let k' () =
- begin match !t' with
- | Array a as n ->
- let v' = a.(i) in
- a.(i) <- v;
- t := n;
- t' := Updated (i, v', t)
- | Updated _ -> assert false
- end; k() in
- rerootk t' k'
-
-let parray_reroot t = rerootk t (fun () -> t)
-
-let parray_init n f def =
- let n = to_int n in
- let n =
- if 0 <= n && n < max_array_length32 then n + 1
- else max_array_length32 in
- let t = Array.make n def in
- for i = 0 to n - 2 do Array.unsafe_set t i (f i) done;
- ref (Array t)
-
-let parray_map f p =
- match !p with
- | Array t -> ref (Array (Array.map f t))
- | _ ->
- let len = to_int (length p) in
- ref (Array
- (Array.init (len + 1)
- (fun i -> f (parray_get p (of_int i)))))
-