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|
open Big_int_Z
open Printf
let trace_writes = ref false
let tracef = printf
(* only expected to be 0, 1, 2; 2 represents undef *)
type vbit = Vone | Vzero | Vundef
type number = Big_int_Z.big_int
type _bool = vbit
type _string = string
type _nat = number
type _int = number
let undef_val = ref Vundef
type value =
| Vvector of vbit array * int * bool
| VvectorR of value array * int * bool
| Vregister of vbit array ref * int * bool * string * (string * (int * int)) list
| Vbit of vbit (*Mostly for Vundef in place of undefined register place holders*)
exception Sail_exit
exception Sail_return
let _print s = print_string s
let string_of_bit = function
| Vone -> "1"
| Vzero -> "0"
| Vundef -> "u"
let bit_of_string = function
| "1" -> Vone
| "0" -> Vzero
| "u" -> Vundef
| _ -> failwith "invalid bit value"
let string_of_bit_array a = Array.fold_left (^) "" (Array.map string_of_bit a)
let string_of_value = function
| Vvector(bits, start, inc) -> (string_of_int start) ^ (if inc then "inc" else "dec") ^ (string_of_bit_array bits)
| VvectorR(values, start, inc) -> ""
| Vregister(bits, start, inc, name, fields) -> "reg" ^ (string_of_int start) ^ (if inc then "inc" else "dec") ^ (string_of_bit_array !bits)
| Vbit(b) -> string_of_bit b
let to_bool = function
| Vzero -> false
| Vone -> true
| Vundef -> assert false
let is_one i =
if eq_big_int i unit_big_int
then Vone
else Vzero
let exit _ = raise Sail_exit
let is_one_int i =
if i = 1 then Vone else Vzero
let get_barray = function
| Vvector(a,_,_) -> a
| Vregister(a,_,_,_,_) -> !a
| _ -> assert false
let get_varray = function
| VvectorR(a,_,_) -> a
| _ -> assert false
let get_ord = function
| Vvector(_,_,o) | Vregister(_,_,o,_,_) | VvectorR(_,_,o) -> o
| _ -> assert false
let get_start = function
| Vvector(_,s,o) | Vregister(_,s,o,_,_) | VvectorR(_,s,o) -> s
| _ -> assert false
let set_start i = function
| Vvector(a,start,dir) -> Vvector(a,i,dir)
| Vregister(bits,start,dir,name,regfields) -> Vregister(bits,i,dir,name,regfields)
| VvectorR(a,start,dir) -> VvectorR(a,i,dir)
| _ -> assert false
let length_int = function
| Vvector(array,_,_) -> Array.length array
| Vregister(array,_,_,_,_) -> Array.length !array
| VvectorR(array,_,_) -> Array.length array
| _ -> assert false
let set_start_to_length v = set_start ((length_int v)-1) v (* XXX should take account of direction? *)
let length_big v = big_int_of_int (length_int v)
let length = length_big
let read_register = function
| Vregister(a,start,inc,_,_) -> Vvector(!a,start,inc)
| v -> v
let vector_access_int v n =
match v with
| VvectorR(array,start,is_inc) ->
if is_inc
then (array.(n-start))
else (array.(start-n))
| _ -> assert false
let vector_access_big v n = vector_access_int v (int_of_big_int n)
let vector_access = vector_access_big
let bit_vector_access_int v n = match v with
| Vvector(array,start,is_inc) ->
if is_inc
then array.(n-start)
else array.(start-n)
| Vregister(array,start,is_inc,_,_) ->
if is_inc
then !array.(n-start)
else !array.(start-n)
| _ -> assert false
let bit_vector_access_big v n = bit_vector_access_int v (int_of_big_int n)
let bit_vector_access = bit_vector_access_big
let vector_subrange_int v n m =
(*Printf.printf "vector_subrange %s %d %d\n" (string_of_value v) n m;*)
match v with
| VvectorR(array,start,is_inc) ->
let (length,offset) = if is_inc then (m-n+1,n-start) else (n-m+1,start-n) in
VvectorR(Array.sub array offset length,n,is_inc)
| Vvector(array,start,is_inc) ->
let (length,offset) = if is_inc then (m-n+1,n-start) else (n-m+1,start-n) in
Vvector(Array.sub array offset length,n,is_inc)
| Vregister(array,start,is_inc,name,fields) ->
let (length,offset) = if is_inc then (m-n+1,n-start) else (n-m+1,start-n) in
Vvector(Array.sub !array offset length,n,is_inc)
| _ -> v
let vector_subrange_big v n m = vector_subrange_int v (int_of_big_int n) (int_of_big_int m)
let vector_subrange = vector_subrange_big
let get_register_field_vec reg field =
match reg with
| Vregister(_,_,_,name,fields) ->
(match List.assoc field fields with
| (i,j) ->
if i = j
then Vbit Vundef
else vector_subrange_int reg i j)
| _ -> Vbit Vundef
let get_register_field_bit reg field =
match reg with
| Vregister(_,_,_,name,fields) ->
(match List.assoc field fields with
| (i,j) ->
if i = j
then bit_vector_access_int reg i
else Vundef)
| _ -> Vundef
let set_register register value = match register,value with
| Vregister(a,_,_,name,_), Vregister(new_v,_,_,_,_) ->
begin
if !trace_writes then
tracef "%s <- %s\n" name (string_of_value value);
a := !new_v
end
| Vregister(a,_,_,name,_), Vvector(new_v,_,_) ->
begin
if !trace_writes then
tracef "%s <- %s\n" name (string_of_value value);
a := new_v
end
| _ -> failwith "set_register of non-register"
let set_vector_subrange_vec_int v n m new_v =
let walker array length offset new_values =
begin
for x = 0 to length-1
do array.(x+offset) <- new_values.(x)
done;
end
in
match v, new_v with
| VvectorR(array,start,is_inc),VvectorR(new_v,_,_) ->
let (length,offset) = if is_inc then (m-n+1,n-start) else (n-m+1,start-n) in
walker array length offset new_v
| _ -> ()
let set_vector_subrange_vec_big v n m new_v =
set_vector_subrange_vec_int v (int_of_big_int n) (int_of_big_int m) new_v
let set_vector_subrange_vec = set_vector_subrange_vec_big (* or maybe _int *)
let set_vector_subrange_bit_int v n m new_v =
let walker array length offset new_values =
begin
for x = 0 to length-1
do array.(x+offset) <- new_values.(x)
done;
end
in
match v,new_v with
| Vvector(array,start,is_inc),Vvector(new_v,_,_) ->
let (length,offset) = if is_inc then (m-n+1,n-start) else (n-m+1,start-n) in
walker array length offset new_v
| Vregister(array,start,is_inc,name,fields),Vvector(new_v,_,_) ->
let (length,offset) = if is_inc then (m-n+1,n-start) else (n-m+1,start-n) in
walker !array length offset new_v
| _ -> ()
let set_vector_subrange_bit_big v n m new_v =
set_vector_subrange_bit_int v (int_of_big_int n) (int_of_big_int m) new_v
let set_vector_subrange_bit = set_vector_subrange_bit_big
let set_register_bit_int reg n v =
match reg with
| Vregister(array,start,inc,name,fields) ->
begin
if !trace_writes then
tracef "%s[%d] <- %s\n" name n (string_of_bit v);
(!array).(if inc then (n - start) else (start - n)) <- v
end
| _ -> failwith "set_register_bit of non-register"
let set_register_bit_big reg n v = set_register_bit_int reg (int_of_big_int n) v
let set_register_bit = set_register_bit_big
let set_register_field_v reg field new_v =
match reg with
| Vregister(array,start,dir,name,fields) ->
begin
if !trace_writes then
tracef "%s[%s] <- %s\n" name field (string_of_value new_v);
(match List.assoc field fields with
| (i,j) ->
if i = j
then ()
else set_vector_subrange_bit_int reg i j new_v)
end
| _ -> ()
let set_register_field_bit reg field new_v =
match reg with
| Vregister(array,start,dir,name,fields) ->
begin
if !trace_writes then
tracef "%s.%s <- %s\n" name field (string_of_bit new_v);
(match List.assoc field fields with
| (i,j) ->
if i = j
then !array.(if dir then i - start else start - i) <- new_v
else ())
end
| _ -> ()
let set_two_reg r1 r2 vec =
let size = length_int r1 in
let dir = get_ord r1 in
let start = get_start vec in
let vsize = length_int vec in
let r1_v = vector_subrange_int vec start ((if dir then size - start else start - size) - 1) in
let r2_v = vector_subrange_int vec (if dir then size - start else start - size)
(if dir then vsize - start else start - vsize) in
begin set_register r1 r1_v; set_register r2 r2_v end
let make_indexed_v entries default start size dir =
let default_value = match default with
| None -> Vbit Vundef
| Some v -> v in
let array = Array.make size default_value in
begin
List.iter (fun (i,v) -> array.(if dir then start - i else i - start) <- v) entries;
VvectorR(array, start, dir)
end
let make_indexed_v_big entries default start size dir =
make_indexed_v entries default (int_of_big_int start) (int_of_big_int size) dir
let make_indexed_bitv entries default start size dir =
let default_value = match default with
| None -> Vundef
| Some v -> v in
let array = Array.make size default_value in
begin
List.iter (fun (i,v) -> array.(if dir then start - i else i - start) <- v) entries;
Vvector(array, start, dir)
end
let make_indexed_bitv_big entries default start size dir =
make_indexed_bitv entries default (int_of_big_int start) (int_of_big_int size) dir
let vector_concat l r =
match l,r with
| Vvector(arrayl,start,ord), Vvector(arrayr,_,_) ->
Vvector(Array.append arrayl arrayr, start, ord)
| Vvector(arrayl,start,ord), Vregister(arrayr,_,_,_,_) ->
Vvector(Array.append arrayl !arrayr, start,ord)
| Vregister(arrayl,start,ord,_,_), Vvector(arrayr,_,_) ->
Vvector(Array.append !arrayl arrayr, start, ord)
| Vregister(arrayl,start,ord,_,_), Vregister(arrayr,_,_,_,_) ->
Vvector(Array.append !arrayl !arrayr,start,ord)
| VvectorR(arrayl,start,ord),VvectorR(arrayr,_,_) ->
VvectorR(Array.append arrayl arrayr, start,ord)
| _ -> Vbit Vundef
let has_undef = function
| Vvector(array,_,_) ->
let rec foreach i = (* XXX ideally would use Array.mem but not in ocaml 4.02.3 *)
if i < Array.length array
then
if array.(i) = Vundef then true
else foreach (i+1)
else false in
foreach 0
| Vregister(array,_,_,_,_) ->
let array = !array in
let rec foreach i =
if i < Array.length array
then
if array.(i) = Vundef then true
else foreach (i+1)
else false in
foreach 0
| _ -> false
let most_significant = function
| Vvector(array,_,_) -> array.(0)
| Vregister(array,_,_,_,_) -> !array.(0)
| _ -> assert false
let _most_significant = most_significant
let bitwise_not_bit = function
| Vone -> Vzero
| Vzero -> Vone
| _ -> Vundef
let bitwise_not = function
| Vvector(array,s,d)-> Vvector( Array.map bitwise_not_bit array,s,d)
| Vregister(array,s,d,_,_) -> Vvector( Array.map bitwise_not_bit !array,s,d)
| _ -> assert false
let bool_to_bit b = if b then Vone else Vzero
let bitwise_binop_bit op (l,r) =
match l,r with
| Vundef,_ | _,Vundef -> Vundef (*Do we want to do this or to respect | of One and & of Zero rules?*)
| Vone,Vone -> bool_to_bit (op true true)
| Vone,Vzero -> bool_to_bit (op true false)
| Vzero,Vone -> bool_to_bit (op false true)
| Vzero,Vzero -> bool_to_bit (op false false)
let bitwise_and_bit = bitwise_binop_bit (&&)
let bitwise_or_bit = bitwise_binop_bit (||)
let bitwise_xor_bit = bitwise_binop_bit (<>)
let bitwise_binop op (l,r) =
let bop l arrayl arrayr =
let array = Array.make l Vzero in
begin
for i = 0 to (l-1) do
array.(i) <- bitwise_binop_bit op (arrayl.(i), arrayr.(i))
done;
array
end in
match l,r with
| Vvector(arrayl, start, dir), Vvector(arrayr,_,_) ->
Vvector(bop (Array.length arrayl) arrayl arrayr, start,dir)
| Vvector(arrayl, start, dir), Vregister(arrayr,_,_,_,_) ->
Vvector(bop (Array.length arrayl) arrayl !arrayr, start, dir)
| Vregister(arrayl, start,dir,_,_), Vvector(arrayr,_,_) ->
Vvector(bop (Array.length arrayr) !arrayl arrayr, start,dir)
| Vregister(arrayl, start, dir, _, _), Vregister(arrayr,_,_,_,_) ->
Vvector(bop (Array.length !arrayl) !arrayl !arrayr, start,dir)
| _ -> Vbit Vundef
let bitwise_and = bitwise_binop (&&)
let bitwise_or = bitwise_binop (||)
let bitwise_xor = bitwise_binop (<>)
let rec power_int base raiseto =
if raiseto = 0
then 1
else base * (power_int base (raiseto - 1))
let int_of_bit_array array =
let acc = ref 0 in
let len = Array.length array in
begin
for i = 0 to len - 1 do
acc := (!acc) lsl 1;
match array.(i) with
| Vone -> acc := succ (!acc)
| _ -> ()
done;
!acc
end
let unsigned_int = function
| (Vvector(array,_,_) as v) ->
if has_undef v
then assert false
else int_of_bit_array array
| (Vregister(array,_,_,_,_) as v)->
let array = !array in
if has_undef v
then assert false
else int_of_bit_array array
| _ -> assert false
let big_int_of_bit_array array =
let acc = ref zero_big_int in
let len = Array.length array in
begin
for i = 0 to len - 1 do
acc := shift_left_big_int !acc 1;
match array.(i) with
| Vone -> acc := succ_big_int !acc
| _ -> ();
done;
!acc
end
let unsigned_big = function
| (Vvector(array,_,_) as v) ->
if has_undef v
then assert false
else
big_int_of_bit_array array
| (Vregister(array,_,_,_,_) as v)->
let array = !array in
if has_undef v
then assert false
else
big_int_of_bit_array array
| _ -> assert false
let unsigned = unsigned_big
let signed_int v =
match most_significant v with
| Vone -> -(1 + (unsigned_int (bitwise_not v)))
| Vzero -> unsigned_int v
| _ -> assert false
let signed_big v =
match most_significant v with
| Vone -> minus_big_int(add_int_big_int 1 (unsigned_big (bitwise_not v)))
| Vzero -> unsigned_big v
| _ -> assert false
let signed = signed_big
let to_num_int sign = if sign then signed_int else unsigned_int
let to_num_big sign = if sign then signed_big else unsigned_big
let to_num = to_num_big
let two_big_int = big_int_of_int 2
let max_64u = pred_big_int (power_big two_big_int (big_int_of_int 64))
let max_64 = pred_big_int (power_big two_big_int (big_int_of_int 63))
let min_64 = minus_big_int (power_big two_big_int (big_int_of_int 63))
let max_32u = big_int_of_int 4294967295
let max_32 = big_int_of_int 2147483647
let min_32 = big_int_of_int (-2147483648)
let max_8 = big_int_of_int 127
let min_8 = big_int_of_int (-128)
let max_5 = big_int_of_int 31
let get_max_representable_in sign n =
match (sign, n) with
| (true, 64) -> max_64
| (false, 64) -> max_64u
| (true, 32) -> max_32
| (false, 32) -> max_32u
| (true, 8) -> max_8
| (false, 5) -> max_5
| (true, _) -> pred_big_int (power_big two_big_int (big_int_of_int (n-1)))
| (false, _) -> pred_big_int (power_big two_big_int (big_int_of_int n))
let get_min_representable_in sign n =
match (sign, n) with
| (false, _) -> zero_big_int
| (true, 64) -> min_64
| (true, 32) -> min_32
| (true, 8) -> min_8
| (true, _) -> minus_big_int (power_big two_big_int (big_int_of_int (n-1)))
let to_vec_int ord len n =
let array = Array.make len Vzero in
let start = if ord then 0 else len-1 in
let acc = ref n in
for i = (len - 1) downto 0 do
if ((!acc) land 1) = 1 then
array.(i) <- Vone;
acc := (!acc) asr 1
done;
Vvector(array, start, ord)
let to_vec_big ord len n =
let len = int_of_big_int len in
let array = Array.make len Vzero in
let start = if ord then 0 else len-1 in
if eq_big_int n zero_big_int
then Vvector(array, start, ord)
else
begin
for i = 0 to len - 1 do
if ((extract_big_int n (len - 1 - i) 1) == unit_big_int) then
array.(i) <- Vone
done;
Vvector(array, start, ord)
end
let to_vec_inc_int (len,n) = to_vec_int true len n
let to_vec_dec_int (len,n) = to_vec_int false len n
let to_vec_inc_big (len,n) = to_vec_big true len n
let to_vec_dec_big (len,n) = to_vec_big false len n
let to_vec_inc = to_vec_inc_big
let to_vec_dec = to_vec_dec_big
let to_vec_undef_int ord len =
let array = Array.make len !undef_val in
let start = if ord then 0 else len-1 in
Vvector(array, start, ord)
let to_vec_undef_big ord len =
let len = int_of_big_int len in
let array = Array.make len !undef_val in
let start = if ord then 0 else len-1 in
Vvector(array, start, ord)
let to_vec_inc_undef_int len = to_vec_undef_int true len
let to_vec_dec_undef_int len = to_vec_undef_int false len
let to_vec_inc_undef_big len = to_vec_undef_big true len
let to_vec_dec_undef_big len = to_vec_undef_big false len
let to_vec_inc_undef = to_vec_inc_undef_big
let to_vec_dec_undef = to_vec_dec_undef_big
let exts_int (len, vec) =
let barray = get_barray(vec) in
let vlen = Array.length barray in
let arr =
if (vlen < len) then
(* copy most significant bit into new bits *)
Array.append (Array.make (len - vlen) barray.(0)) barray
else
(* truncate to least significant bits *)
Array.sub barray (vlen - len) len in
let inc = get_ord vec in
Vvector(arr, (if inc then 0 else (len - 1)), inc)
let extz_int (len, vec) =
let barray = get_barray(vec) in
let vlen = Array.length barray in
let arr =
if (vlen < len) then
(* fill new bits with zero *)
Array.append (Array.make (len - vlen) Vzero) barray
else
(* truncate to least significant bits *)
Array.sub barray (vlen - len) len in
let inc = get_ord vec in
Vvector(arr, (if inc then 0 else (len - 1)), inc)
let exts_big (len,vec) = exts_int (int_of_big_int len, vec)
let extz_big (len,vec) = extz_int (int_of_big_int len, vec)
let exts = exts_big
let extz = extz_big
let arith_op op (l,r) = op l r
let add_big = arith_op add_big_int
let add_signed_big = arith_op add_big_int
let minus_big = arith_op sub_big_int
let multiply_big = arith_op mult_big_int
let min_big = arith_op min_big_int
let max_big = arith_op max_big_int
(* NB Z.div is what we want because it does truncation towards zero unlike Big_int_Z.div_big_int == Z.ediv *)
let quot_big = arith_op (Z.div)
let modulo_big = arith_op (Z.rem)
let power_big = arith_op power_big
let add_int = arith_op (+)
let add_signed_int = arith_op (+)
let minus_int = arith_op (-)
let multiply_int = arith_op ( * )
let modulo_int = arith_op (mod)
let quot_int = arith_op (/)
let power_int = arith_op power_int
let add = add_big
let add_signed = add_signed_big
let minus = minus_big
let multiply = multiply_big
let modulo = modulo_big
let quot = quot_big
let power = power_big
let min_int = min (* the built-in version *)
let min = min_big (* is overwritten here *)
let max_int = max (* likewise *)
let max = max_big
let abs_int = abs
let abs_big = abs_big_int
let abs = abs_big
let arith_op_vec_big op sign size (l,r) =
let ord = get_ord l in
let (l',r') = to_num_big sign l, to_num_big sign r in
let n = arith_op op (l',r') in
to_vec_big ord (mult_big_int size (length_big l)) n
let add_vec_big = arith_op_vec_big add_big_int false unit_big_int
let add_vec_signed_big = arith_op_vec_big add_big_int true unit_big_int
let minus_vec_big = arith_op_vec_big sub_big_int false unit_big_int
let multiply_vec_big = arith_op_vec_big mult_big_int false two_big_int
let multiply_vec_signed_big = arith_op_vec_big mult_big_int true two_big_int
let arith_op_vec_int op sign size (l,r) =
let ord = get_ord l in
let (l',r') = to_num_int sign l, to_num_int sign r in
let n = arith_op op (l',r') in
to_vec_int ord (size * (length_int l)) n
let add_vec_int = arith_op_vec_int (+) false 1
let add_vec_signed_int = arith_op_vec_int (+) true 1
let minus_vec_int = arith_op_vec_int (-) false 1
let multiply_vec_int = arith_op_vec_int ( * ) false 2
let multiply_vec_signed_int = arith_op_vec_int ( * ) true 2
let add_vec = add_vec_big
let add_vec_signed = add_vec_signed_big
let minus_vec = minus_vec_big
let multiply_vec = multiply_vec_big
let multiply_vec_signed = multiply_vec_signed_big
let arith_op_vec_range_int op sign size (l,r) =
let ord = get_ord l in
arith_op_vec_int op sign size (l, to_vec_int ord (length_int l) r)
let add_vec_range_int = arith_op_vec_range_int (+) false 1
let add_vec_range_signed_int = arith_op_vec_range_int (+) true 1
let minus_vec_range_int = arith_op_vec_range_int (-) false 1
let mult_vec_range_int = arith_op_vec_range_int ( * ) false 2
let mult_vec_range_signed_int = arith_op_vec_range_int ( * ) true 2
let arith_op_vec_range_big op sign size (l,r) =
let ord = get_ord l in
arith_op_vec_big op sign size (l, to_vec_big ord (length_big l) r)
let add_vec_range_big = arith_op_vec_range_big add_big_int false unit_big_int
let add_vec_range_signed_big = arith_op_vec_range_big add_big_int true unit_big_int
let minus_vec_range_big = arith_op_vec_range_big sub_big_int false unit_big_int
let mult_vec_range_big = arith_op_vec_range_big mult_big_int false two_big_int
let mult_vec_range_signed_big = arith_op_vec_range_big mult_big_int true two_big_int
let add_vec_range = add_vec_range_big
let add_vec_range_signed = add_vec_range_signed_big
let minus_vec_range = minus_vec_range_big
let mult_vec_range = mult_vec_range_big
let mult_vec_range_signed = mult_vec_range_signed_big
let arith_op_range_vec_int op sign size (l,r) =
let ord = get_ord r in
arith_op_vec_int op sign size ((to_vec_int ord (length_int r) l), r)
let add_range_vec_int = arith_op_range_vec_int (+) false 1
let add_range_vec_signed_int = arith_op_range_vec_int (+) true 1
let minus_range_vec_int = arith_op_range_vec_int (-) false 1
let mult_range_vec_int = arith_op_range_vec_int ( * ) false 2
let mult_range_vec_signed_int = arith_op_range_vec_int ( * ) true 2
let arith_op_range_vec_big op sign size (l,r) =
let ord = get_ord r in
arith_op_vec_big op sign size ((to_vec_big ord (length_big r) l), r)
let add_range_vec_big = arith_op_range_vec_big add_big_int false unit_big_int
let add_range_vec_signed_big = arith_op_range_vec_big add_big_int true unit_big_int
let minus_range_vec_big = arith_op_range_vec_big sub_big_int false unit_big_int
let mult_range_vec_big = arith_op_range_vec_big mult_big_int false two_big_int
let mult_range_vec_signed_big = arith_op_range_vec_big mult_big_int true two_big_int
let add_range_vec = add_range_vec_big
let add_range_vec_signed = add_range_vec_signed_big
let minus_range_vec = minus_range_vec_big
let mult_range_vec = mult_range_vec_big
let mult_range_vec_signed = mult_range_vec_signed_big
let arith_op_range_vec_range_int op sign (l,r) = arith_op op (l, to_num_int sign r)
let add_range_vec_range_int = arith_op_range_vec_range_int (+) false
let add_range_vec_range_signed_int = arith_op_range_vec_range_int (+) true
let minus_range_vec_range_int = arith_op_range_vec_range_int (-) false
let arith_op_range_vec_range_big op sign (l,r) = arith_op op (l, to_num_big sign r)
let add_range_vec_range_big = arith_op_range_vec_range_big add_big_int false
let add_range_vec_range_signed_big = arith_op_range_vec_range_big add_big_int true
let minus_range_vec_range_big = arith_op_range_vec_range_big sub_big_int false
let add_range_vec_range = add_range_vec_range_big
let add_range_vec_range_signed = add_range_vec_range_signed_big
let minus_range_vec_range = minus_range_vec_range_big
let arith_op_vec_range_range_int op sign (l,r) = arith_op op (to_num_int sign l,r)
let add_vec_range_range_int = arith_op_vec_range_range_int (+) false
let add_vec_range_range_signed_int = arith_op_vec_range_range_int (+) true
let minus_vec_range_range_int = arith_op_vec_range_range_int (-) false
let arith_op_vec_range_range_big op sign (l,r) = arith_op op (to_num_big sign l,r)
let add_vec_range_range_big = arith_op_vec_range_range_big add_big_int false
let add_vec_range_range_signed_big = arith_op_vec_range_range_big add_big_int true
let minus_vec_range_range_big = arith_op_vec_range_range_big sub_big_int false
let add_vec_range_range = add_vec_range_range_big
let add_vec_range_range_signed = add_vec_range_range_signed_big
let minus_vec_range_range = minus_vec_range_range_big
let arith_op_vec_vec_range_int op sign (l,r) =
let (l',r') = (to_num_int sign l,to_num_int sign r) in
arith_op op (l',r')
let add_vec_vec_range_int = arith_op_vec_vec_range_int (+) false
let add_vec_vec_range_signed_int = arith_op_vec_vec_range_int (+) true
let arith_op_vec_vec_range_big op sign (l,r) =
let (l',r') = (to_num_big sign l,to_num_big sign r) in
arith_op op (l',r')
let add_vec_vec_range_big = arith_op_vec_vec_range_big add_big_int false
let add_vec_vec_range_signed_big = arith_op_vec_vec_range_big add_big_int true
let add_vec_vec_range = add_vec_vec_range_big
let add_vec_vec_range_signed = add_vec_vec_range_signed_big
let arith_op_vec_bit_int op sign (l,r) =
let ord = get_ord l in
let l' = to_num_int sign l in
let n = arith_op op (l', match r with | Vone -> 1 | _ -> 0) in
to_vec_int ord (length_int l) n
let add_vec_bit_int = arith_op_vec_bit_int (+) false
let add_vec_bit_signed_int = arith_op_vec_bit_int (+) true
let minus_vec_bit_int = arith_op_vec_bit_int (-) true
let arith_op_vec_bit_big op sign (l,r) =
let ord = get_ord l in
let l' = to_num_big sign l in
let n = arith_op op (l', match r with | Vone -> unit_big_int | _ -> zero_big_int) in
to_vec_big ord (length_big l) n
let add_vec_bit_big = arith_op_vec_bit_big add_big_int false
let add_vec_bit_signed_big = arith_op_vec_bit_big add_big_int true
let minus_vec_bit_big = arith_op_vec_bit_big sub_big_int true
let add_vec_bit = add_vec_bit_big
let add_vec_bit_signed = add_vec_bit_signed_big
let minus_vec_bit = minus_vec_bit_big
let rec arith_op_overflow_vec_int op sign size (l,r) =
let ord = get_ord l in
let len = length_int l in
let act_size = len * size in
let (l_sign,r_sign) = (to_num_int sign l,to_num_int sign r) in
let (l_unsign,r_unsign) = (to_num_int false l,to_num_int false r) in
let n = arith_op op (l_sign,r_sign) in
let n_unsign = arith_op op (l_unsign,r_unsign) in
let correct_size_num = to_vec_int ord act_size n in
let one_more_size_u = to_vec_int ord (act_size +1) n_unsign in
let overflow = if (n <= (int_of_big_int (get_max_representable_in sign len))) &&
(n >= (int_of_big_int (get_min_representable_in sign len)))
then Vzero
else Vone in
let c_out = most_significant one_more_size_u in
(correct_size_num,overflow,c_out)
let add_overflow_vec_int = arith_op_overflow_vec_int (+) false 1
let add_overflow_vec_signed_int = arith_op_overflow_vec_int (+) true 1
let minus_overflow_vec_int = arith_op_overflow_vec_int (-) false 1
let minus_overflow_vec_signed_int = arith_op_overflow_vec_int (-) true 1
let mult_overflow_vec_int = arith_op_overflow_vec_int ( * ) false 2
let mult_overflow_vec_signed_int = arith_op_overflow_vec_int ( * ) true 2
let rec arith_op_overflow_vec_big op sign size (l,r) =
let ord = get_ord l in
let len = length_big l in
let act_size = mult_big_int len size in
let (l_sign,r_sign) = (to_num_big sign l,to_num_big sign r) in
let (l_unsign,r_unsign) = (to_num_big false l,to_num_big false r) in
let n = arith_op op (l_sign,r_sign) in
let n_unsign = arith_op op (l_unsign,r_unsign) in
let correct_size_num = to_vec_big ord act_size n in
let one_more_size_u = to_vec_big ord (succ_big_int act_size) n_unsign in
let overflow = if (le_big_int n (get_max_representable_in sign (int_of_big_int len))) &&
(ge_big_int n (get_min_representable_in sign (int_of_big_int len)))
then Vzero
else Vone in
let c_out = most_significant one_more_size_u in
(correct_size_num,overflow,c_out)
let add_overflow_vec_big = arith_op_overflow_vec_big add_big_int false unit_big_int
let add_overflow_vec_signed_big = arith_op_overflow_vec_big add_big_int true unit_big_int
let minus_overflow_vec_big = arith_op_overflow_vec_big sub_big_int false unit_big_int
let minus_overflow_vec_signed_big = arith_op_overflow_vec_big sub_big_int true unit_big_int
let mult_overflow_vec_big = arith_op_overflow_vec_big mult_big_int false two_big_int
let mult_overflow_vec_signed_big = arith_op_overflow_vec_big mult_big_int true two_big_int
let add_overflow_vec = add_overflow_vec_big
let add_overflow_vec_signed = add_overflow_vec_signed_big
let minus_overflow_vec = minus_overflow_vec_big
let minus_overflow_vec_signed = minus_overflow_vec_signed_big
let mult_overflow_vec = mult_overflow_vec_big
let mult_overflow_vec_signed = mult_overflow_vec_signed_big
let rec arith_op_overflow_vec_bit_int op sign (l,r_bit) =
let ord = get_ord l in
let act_size = length_int l in
let l' = to_num_int sign l in
let l_u = to_num_int false l in
let (n,nu,changed) = match r_bit with
| Vone -> (arith_op op (l',1), arith_op op (l_u,1), true)
| Vzero -> (l',l_u,false)
| _ -> assert false
in
let correct_size_num = to_vec_int ord act_size n in
let one_larger = to_vec_int ord (1+ act_size) nu in
let overflow =
if changed
then if (n <= (int_of_big_int (get_max_representable_in sign act_size))) &&
(n >= (int_of_big_int (get_min_representable_in sign act_size)))
then Vzero
else Vone
else Vone in
(correct_size_num,overflow,most_significant one_larger)
let add_overflow_vec_bit_signed_int = arith_op_overflow_vec_bit_int (+) true
let minus_overflow_vec_bit_int = arith_op_overflow_vec_bit_int (-) false
let minus_overflow_vec_bit_signed_int = arith_op_overflow_vec_bit_int (-) true
let rec arith_op_overflow_vec_bit_big op sign (l,r_bit) =
let ord = get_ord l in
let act_size = length_big l in
let l' = to_num_big sign l in
let l_u = to_num_big false l in
let (n,nu,changed) = match r_bit with
| Vone -> (arith_op op (l',unit_big_int), arith_op op (l_u,unit_big_int), true)
| Vzero -> (l',l_u,false)
| _ -> assert false
in
let correct_size_num = to_vec_big ord act_size n in
let one_larger = to_vec_big ord (succ_big_int act_size) nu in
let overflow =
if changed
then if (le_big_int n (get_max_representable_in sign (int_of_big_int act_size))) &&
(ge_big_int n (get_min_representable_in sign (int_of_big_int act_size)))
then Vzero
else Vone
else Vone in
(correct_size_num,overflow,most_significant one_larger)
let add_overflow_vec_bit_signed_big = arith_op_overflow_vec_bit_big add_big_int true
let minus_overflow_vec_bit_big = arith_op_overflow_vec_bit_big sub_big_int false
let minus_overflow_vec_bit_signed_big = arith_op_overflow_vec_bit_big sub_big_int true
let add_overflow_vec_bit_signed = add_overflow_vec_bit_signed_big
let minus_overflow_vec_bit = minus_overflow_vec_bit_big
let minus_overflow_vec_bit_signed = minus_overflow_vec_bit_signed_big
let shift_op_vec_int op (l,r) =
match l with
| Vvector(_,start,ord) | Vregister(_,start,ord,_,_) ->
let array = match l with | Vvector(array,_,_) -> array | Vregister(array,_,_,_,_) -> !array | _ -> assert false in
let len = Array.length array in
(match op with
| "<<" ->
let left = Array.sub array r (len - r) in
let right = Array.make r Vzero in
let result = Array.append left right in
Vvector(result, start, ord)
| ">>" ->
let left = Array.make r Vzero in
let right = Array.sub array 0 (len - r) in
let result = Array.append left right in
Vvector(result, start, ord)
| "<<<" ->
let left = Array.sub array r (len - r) in
let right = Array.sub array 0 r in
let result = Array.append left right in
Vvector(result, start, ord)
| _ -> assert false)
| _ -> assert false
let shift_op_vec_big op (l,r) = shift_op_vec_int op (l, int_of_big_int r)
let bitwise_leftshift_big = shift_op_vec_big "<<"
let bitwise_rightshift_big = shift_op_vec_big ">>"
let bitwise_rotate_big = shift_op_vec_big "<<<"
let bitwise_leftshift = bitwise_leftshift_big
let bitwise_rightshift = bitwise_rightshift_big
let bitwise_rotate = bitwise_rotate_big
let rec arith_op_no0_big op (l,r) =
if eq_big_int r zero_big_int
then None
else Some (op l r)
let modulo_no0_big = arith_op_no0_big (Z.rem)
let quot_no0_big = arith_op_no0_big (Z.div)
let rec arith_op_no0_int op (l,r) =
if r = 0
then None
else Some (op l r)
let rec arith_op_vec_no0_int op sign size (l,r) =
let ord = get_ord l in
let act_size = ((length_int l) * size) in
let (l',r') = (to_num_int sign l,to_num_int sign r) in
let n = arith_op_no0_int op (l',r') in
let representable,n' =
match n with
| Some n' ->
((n' <= (int_of_big_int (get_max_representable_in sign act_size))) &&
(n' >= (int_of_big_int (get_min_representable_in sign act_size)))), n'
| _ -> false,0 in
if representable
then to_vec_int ord act_size n'
else
match l with
| Vvector(_, start, _) | Vregister(_, start, _, _, _) ->
Vvector((Array.make act_size Vundef), start, ord)
| _ -> assert false
let mod_vec_int = arith_op_vec_no0_int (mod) false 1
let quot_vec_int = arith_op_vec_no0_int (/) false 1
let quot_vec_signed_int = arith_op_vec_no0_int (/) true 1
let rec arith_op_vec_no0_big op sign size (l,r) =
let ord = get_ord l in
let act_size = int_of_big_int (mult_int_big_int (length_int l) size) in
let (l',r') = (to_num_big sign l,to_num_big sign r) in
let n = arith_op_no0_big op (l',r') in
let representable,n' =
match n with
| Some n' ->
((le_big_int n' (get_max_representable_in sign act_size)) &&
(ge_big_int n' (get_min_representable_in sign act_size))), n'
| _ -> false,zero_big_int in
if representable
then to_vec_big ord (big_int_of_int act_size) n'
else
match l with
| Vvector(_, start, _) | Vregister(_, start, _, _, _) ->
Vvector((Array.make act_size Vundef), start, ord)
| _ -> assert false
let mod_vec_big = arith_op_vec_no0_big (Z.rem) false unit_big_int
let quot_vec_big = arith_op_vec_no0_big (Z.div) false unit_big_int
let quot_vec_signed_big = arith_op_vec_no0_big (Z.div) true unit_big_int
let mod_vec = mod_vec_big
let quot_vec = quot_vec_big
let quot_vec_signed = quot_vec_signed_big
let arith_op_overflow_no0_vec_int op sign size (l,r) =
let ord = get_ord l in
let rep_size = (length_int r) * size in
let act_size = (length_int l) * size in
let (l',r') = ((to_num_int sign l),(to_num_int sign r)) in
let (l_u,r_u) = (to_num_int false l,to_num_int false r) in
let n = arith_op_no0_int op (l',r') in
let n_u = arith_op_no0_int op (l_u,r_u) in
let representable,n',n_u' =
match n, n_u with
| Some n',Some n_u' ->
((n' <= (int_of_big_int (get_max_representable_in sign rep_size))) &&
(n' >= (int_of_big_int (get_min_representable_in sign rep_size))), n', n_u')
| _ -> true,0,0 in
let (correct_size_num,one_more) =
if representable then
(to_vec_int ord act_size n',to_vec_int ord (1+act_size) n_u')
else match l with
| Vvector(_, start, _) | Vregister(_, start, _, _, _) ->
Vvector((Array.make act_size Vundef), start, ord),
Vvector((Array.make (act_size + 1) Vundef), start, ord)
| _ -> assert false in
let overflow = if representable then Vzero else Vone in
(correct_size_num,overflow,most_significant one_more)
let quot_overflow_vec_int = arith_op_overflow_no0_vec_int (/) false 1
let quot_overflow_vec_signed_int = arith_op_overflow_no0_vec_int (/) true 1
let arith_op_overflow_no0_vec_big op sign size (l,r) =
let ord = get_ord l in
let rep_size = mult_big_int (length_big r) size in
let act_size = mult_big_int (length_big l) size in
let (l',r') = ((to_num_big sign l),(to_num_big sign r)) in
let (l_u,r_u) = (to_num_big false l,to_num_big false r) in
let n = arith_op_no0_big op (l',r') in
let n_u = arith_op_no0_big op (l_u,r_u) in
let representable,n',n_u' =
match n, n_u with
| Some n',Some n_u' ->
((le_big_int n' (get_max_representable_in sign (int_of_big_int rep_size))) &&
(ge_big_int n' (get_min_representable_in sign (int_of_big_int rep_size))), n', n_u')
| _ -> true,zero_big_int,zero_big_int in
let (correct_size_num,one_more) =
if representable then
(to_vec_big ord act_size n',to_vec_big ord (succ_big_int act_size) n_u')
else match l with
| Vvector(_, start, _) | Vregister(_, start, _, _, _) ->
Vvector((Array.make (int_of_big_int act_size) Vundef), start, ord),
Vvector((Array.make ((int_of_big_int act_size) + 1) Vundef), start, ord)
| _ -> assert false in
let overflow = if representable then Vzero else Vone in
(correct_size_num,overflow,most_significant one_more)
let quot_overflow_vec_big = arith_op_overflow_no0_vec_big (Z.div) false unit_big_int
let quot_overflow_vec_signed_big = arith_op_overflow_no0_vec_big (Z.div) true unit_big_int
let quot_overflow_vec = quot_overflow_vec_big
let quot_overflow_vec_signed = quot_overflow_vec_signed_big
let arith_op_vec_range_no0_int op sign size (l,r) =
let ord = get_ord l in
arith_op_vec_no0_int op sign size (l,(to_vec_int ord (length_int l) r))
let mod_vec_range_int = arith_op_vec_range_no0_int (mod) false 1
let arith_op_vec_range_no0_big op sign size (l,r) =
let ord = get_ord l in
arith_op_vec_no0_big op sign size (l,(to_vec_big ord (length_big l) r))
let mod_vec_range_big = arith_op_vec_range_no0_big (Z.rem) false unit_big_int
let mod_vec_range = mod_vec_range_big
(* XXX Need to have a default top level direction reference I think*)
let duplicate_int (bit,length) =
Vvector((Array.make length bit), (length-1), false)
let duplicate_big (bit,length) =
duplicate_int (bit, int_of_big_int length)
let duplicate = duplicate_big
let duplicate_bits_big (bits, x) =
let len = (length_int bits) * (int_of_big_int x) in
let is_inc = get_ord bits in
let bits_arr = get_barray bits in
let arr = Array.concat (Array.to_list(Array.make (int_of_big_int x) bits_arr)) in
Vvector(arr, (if is_inc then 0 else (len - 1)), is_inc)
let duplicate_bits = duplicate_bits_big
let compare_op op (l,r) =
if (op l r)
then Vone
else Vzero
let lt_big = compare_op lt_big_int
let gt_big = compare_op gt_big_int
let lteq_big = compare_op le_big_int
let gteq_big = compare_op ge_big_int
let lt_int : (int* int) -> vbit = compare_op (<)
let gt_int : (int * int) -> vbit = compare_op (>)
let lteq_int : (int * int) -> vbit = compare_op (<=)
let gteq_int : (int*int) -> vbit = compare_op (>=)
let lt = lt_big
let gt = gt_big
let lteq = lteq_big
let gteq = gteq_big
let compare_op_vec_int op sign (l,r) =
let (l',r') = (to_num_int sign l, to_num_int sign r) in
compare_op op (l',r')
let lt_vec_int = compare_op_vec_int (<) true
let gt_vec_int = compare_op_vec_int (>) true
let lteq_vec_int = compare_op_vec_int (<=) true
let gteq_vec_int = compare_op_vec_int (>=) true
let lt_vec_signed_int = compare_op_vec_int (<) true
let gt_vec_signed_int = compare_op_vec_int (>) true
let lteq_vec_signed_int = compare_op_vec_int (<=) true
let gteq_vec_signed_int = compare_op_vec_int (>=) true
let lt_vec_unsigned_int = compare_op_vec_int (<) false
let gt_vec_unsigned_int = compare_op_vec_int (>) false
let lteq_vec_unsigned_int = compare_op_vec_int (<=) false
let gteq_vec_unsigned_int = compare_op_vec_int (>=) false
let compare_op_vec_big op sign (l,r) =
let (l',r') = (to_num_big sign l, to_num_big sign r) in
compare_op op (l',r')
let lt_vec_big = compare_op_vec_big lt_big_int true
let gt_vec_big = compare_op_vec_big gt_big_int true
let lteq_vec_big = compare_op_vec_big le_big_int true
let gteq_vec_big = compare_op_vec_big ge_big_int true
let lt_vec_signed_big = compare_op_vec_big lt_big_int true
let gt_vec_signed_big = compare_op_vec_big gt_big_int true
let lteq_vec_signed_big = compare_op_vec_big le_big_int true
let gteq_vec_signed_big = compare_op_vec_big ge_big_int true
let lt_vec_unsigned_big = compare_op_vec_big lt_big_int false
let gt_vec_unsigned_big = compare_op_vec_big gt_big_int false
let lteq_vec_unsigned_big = compare_op_vec_big le_big_int false
let gteq_vec_unsigned_big = compare_op_vec_big ge_big_int false
let lt_vec = lt_vec_big
let gt_vec = gt_vec_big
let lteq_vec = lteq_vec_big
let gteq_vec = gteq_vec_big
let lt_vec_signed = lt_vec_signed_big
let gt_vec_signed = gt_vec_signed_big
let lteq_vec_signed = lteq_vec_signed_big
let gteq_vec_signed = gteq_vec_signed_big
let lt_vec_unsigned = lt_vec_unsigned_big
let gt_vec_unsigned = gt_vec_unsigned_big
let lteq_vec_unsigned = lteq_vec_unsigned_big
let gteq_vec_unsigned = gteq_vec_unsigned_big
let compare_op_vec_range_int op sign (l,r) =
compare_op op ((to_num_int sign l),r)
let lt_vec_range_int = compare_op_vec_range_int (<) true
let gt_vec_range_int = compare_op_vec_range_int (>) true
let lteq_vec_range_int = compare_op_vec_range_int (<=) true
let gteq_vec_range_int = compare_op_vec_range_int (>=) true
let compare_op_vec_range_big op sign (l,r) =
compare_op op ((to_num_big sign l),r)
let lt_vec_range_big = compare_op_vec_range_big lt_big_int true
let gt_vec_range_big = compare_op_vec_range_big gt_big_int true
let lteq_vec_range_big = compare_op_vec_range_big le_big_int true
let gteq_vec_range_big = compare_op_vec_range_big ge_big_int true
let lt_vec_range = lt_vec_range_big
let gt_vec_range = gt_vec_range_big
let lteq_vec_range = lteq_vec_range_big
let gteq_vec_range = gteq_vec_range_big
let compare_op_range_vec_int op sign (l,r) =
compare_op op (l, (to_num_int sign r))
let lt_range_vec_int = compare_op_range_vec_int (<) true
let gt_range_vec_int = compare_op_range_vec_int (>) true
let lteq_range_vec_int = compare_op_range_vec_int (<=) true
let gteq_range_vec_int = compare_op_range_vec_int (>=) true
let compare_op_range_vec_big op sign (l,r) =
compare_op op (l, (to_num_big sign r))
let lt_range_vec_big = compare_op_range_vec_big lt_big_int true
let gt_range_vec_big = compare_op_range_vec_big gt_big_int true
let lteq_range_vec_big = compare_op_range_vec_big le_big_int true
let gteq_range_vec_big = compare_op_range_vec_big ge_big_int true
let lt_range_vec = lt_range_vec_big
let gt_range_vec = gt_range_vec_big
let lteq_range_vec = lteq_range_vec_big
let gteq_range_vec = gteq_range_vec_big
let eq (l,r) = if l = r then Vone else Vzero
let eq_vec_vec (l,r) = eq (to_num_big true l, to_num_big true r)
let eq_vec (l,r) = eq_vec_vec(l,r)
let eq_vec_range (l,r) = eq (to_num_big false l,r)
let eq_range_vec (l,r) = eq (l, to_num_big false r)
let eq_range = eq
let eq_bit = bitwise_binop_bit (=)
let neq (l,r) = bitwise_not_bit (eq (l,r))
let neq_vec (l,r) = bitwise_not_bit (eq_vec_vec(l,r))
let neq_vec_range (l,r) = bitwise_not_bit (eq_vec_range (l,r))
let neq_bit (l,r) = bitwise_not_bit (eq_bit(l,r))
let neq_range = neq
let mask (n,v) =
let n' = int_of_big_int n in
match v with
| Vvector (bits,start,dir) ->
let current_size = Array.length bits in
let to_drop = (current_size - n') in
let bits' = Array.sub bits to_drop n' in
Vvector (bits',(if dir then 0 else n'-1), dir)
| Vregister (bits,start,dir,name,fields) ->
let current_size = Array.length !bits in
let to_drop = (current_size - n') in
let bits' = Array.sub !bits to_drop n' in
Vvector (bits',(if dir then 0 else n'-1), dir)
| VvectorR _ -> failwith "mask not implemented for VregisterR"
| Vbit _ -> failwith "mask called for bit"
let slice_raw (v, i, j) =
let i' = int_of_big_int i in
let j' = int_of_big_int j in
match v with
| Vvector (bs, start, is_inc) ->
let bits = Array.sub bs i' (j'-i'+1) in
let len = Array.length bits in
Vvector (bits, (if is_inc then 0 else len - 1), is_inc)
| _ -> failwith "slice_raw only implemented for VVector"
let _slice_raw = slice_raw
(* enough literal big ints to account for most literals found in specs *)
(* for i = 0 to 257 do Printf.printf "let bi%d = big_int_of_int %d\n" i i done;; *)
let bi0 = zero_big_int
let bi1 = unit_big_int
let bi2 = big_int_of_int 2
let bi3 = big_int_of_int 3
let bi4 = big_int_of_int 4
let bi5 = big_int_of_int 5
let bi6 = big_int_of_int 6
let bi7 = big_int_of_int 7
let bi8 = big_int_of_int 8
let bi9 = big_int_of_int 9
let bi10 = big_int_of_int 10
let bi11 = big_int_of_int 11
let bi12 = big_int_of_int 12
let bi13 = big_int_of_int 13
let bi14 = big_int_of_int 14
let bi15 = big_int_of_int 15
let bi16 = big_int_of_int 16
let bi17 = big_int_of_int 17
let bi18 = big_int_of_int 18
let bi19 = big_int_of_int 19
let bi20 = big_int_of_int 20
let bi21 = big_int_of_int 21
let bi22 = big_int_of_int 22
let bi23 = big_int_of_int 23
let bi24 = big_int_of_int 24
let bi25 = big_int_of_int 25
let bi26 = big_int_of_int 26
let bi27 = big_int_of_int 27
let bi28 = big_int_of_int 28
let bi29 = big_int_of_int 29
let bi30 = big_int_of_int 30
let bi31 = big_int_of_int 31
let bi32 = big_int_of_int 32
let bi33 = big_int_of_int 33
let bi34 = big_int_of_int 34
let bi35 = big_int_of_int 35
let bi36 = big_int_of_int 36
let bi37 = big_int_of_int 37
let bi38 = big_int_of_int 38
let bi39 = big_int_of_int 39
let bi40 = big_int_of_int 40
let bi41 = big_int_of_int 41
let bi42 = big_int_of_int 42
let bi43 = big_int_of_int 43
let bi44 = big_int_of_int 44
let bi45 = big_int_of_int 45
let bi46 = big_int_of_int 46
let bi47 = big_int_of_int 47
let bi48 = big_int_of_int 48
let bi49 = big_int_of_int 49
let bi50 = big_int_of_int 50
let bi51 = big_int_of_int 51
let bi52 = big_int_of_int 52
let bi53 = big_int_of_int 53
let bi54 = big_int_of_int 54
let bi55 = big_int_of_int 55
let bi56 = big_int_of_int 56
let bi57 = big_int_of_int 57
let bi58 = big_int_of_int 58
let bi59 = big_int_of_int 59
let bi60 = big_int_of_int 60
let bi61 = big_int_of_int 61
let bi62 = big_int_of_int 62
let bi63 = big_int_of_int 63
let bi64 = big_int_of_int 64
let bi65 = big_int_of_int 65
let bi66 = big_int_of_int 66
let bi67 = big_int_of_int 67
let bi68 = big_int_of_int 68
let bi69 = big_int_of_int 69
let bi70 = big_int_of_int 70
let bi71 = big_int_of_int 71
let bi72 = big_int_of_int 72
let bi73 = big_int_of_int 73
let bi74 = big_int_of_int 74
let bi75 = big_int_of_int 75
let bi76 = big_int_of_int 76
let bi77 = big_int_of_int 77
let bi78 = big_int_of_int 78
let bi79 = big_int_of_int 79
let bi80 = big_int_of_int 80
let bi81 = big_int_of_int 81
let bi82 = big_int_of_int 82
let bi83 = big_int_of_int 83
let bi84 = big_int_of_int 84
let bi85 = big_int_of_int 85
let bi86 = big_int_of_int 86
let bi87 = big_int_of_int 87
let bi88 = big_int_of_int 88
let bi89 = big_int_of_int 89
let bi90 = big_int_of_int 90
let bi91 = big_int_of_int 91
let bi92 = big_int_of_int 92
let bi93 = big_int_of_int 93
let bi94 = big_int_of_int 94
let bi95 = big_int_of_int 95
let bi96 = big_int_of_int 96
let bi97 = big_int_of_int 97
let bi98 = big_int_of_int 98
let bi99 = big_int_of_int 99
let bi100 = big_int_of_int 100
let bi101 = big_int_of_int 101
let bi102 = big_int_of_int 102
let bi103 = big_int_of_int 103
let bi104 = big_int_of_int 104
let bi105 = big_int_of_int 105
let bi106 = big_int_of_int 106
let bi107 = big_int_of_int 107
let bi108 = big_int_of_int 108
let bi109 = big_int_of_int 109
let bi110 = big_int_of_int 110
let bi111 = big_int_of_int 111
let bi112 = big_int_of_int 112
let bi113 = big_int_of_int 113
let bi114 = big_int_of_int 114
let bi115 = big_int_of_int 115
let bi116 = big_int_of_int 116
let bi117 = big_int_of_int 117
let bi118 = big_int_of_int 118
let bi119 = big_int_of_int 119
let bi120 = big_int_of_int 120
let bi121 = big_int_of_int 121
let bi122 = big_int_of_int 122
let bi123 = big_int_of_int 123
let bi124 = big_int_of_int 124
let bi125 = big_int_of_int 125
let bi126 = big_int_of_int 126
let bi127 = big_int_of_int 127
let bi128 = big_int_of_int 128
let bi129 = big_int_of_int 129
let bi130 = big_int_of_int 130
let bi131 = big_int_of_int 131
let bi132 = big_int_of_int 132
let bi133 = big_int_of_int 133
let bi134 = big_int_of_int 134
let bi135 = big_int_of_int 135
let bi136 = big_int_of_int 136
let bi137 = big_int_of_int 137
let bi138 = big_int_of_int 138
let bi139 = big_int_of_int 139
let bi140 = big_int_of_int 140
let bi141 = big_int_of_int 141
let bi142 = big_int_of_int 142
let bi143 = big_int_of_int 143
let bi144 = big_int_of_int 144
let bi145 = big_int_of_int 145
let bi146 = big_int_of_int 146
let bi147 = big_int_of_int 147
let bi148 = big_int_of_int 148
let bi149 = big_int_of_int 149
let bi150 = big_int_of_int 150
let bi151 = big_int_of_int 151
let bi152 = big_int_of_int 152
let bi153 = big_int_of_int 153
let bi154 = big_int_of_int 154
let bi155 = big_int_of_int 155
let bi156 = big_int_of_int 156
let bi157 = big_int_of_int 157
let bi158 = big_int_of_int 158
let bi159 = big_int_of_int 159
let bi160 = big_int_of_int 160
let bi161 = big_int_of_int 161
let bi162 = big_int_of_int 162
let bi163 = big_int_of_int 163
let bi164 = big_int_of_int 164
let bi165 = big_int_of_int 165
let bi166 = big_int_of_int 166
let bi167 = big_int_of_int 167
let bi168 = big_int_of_int 168
let bi169 = big_int_of_int 169
let bi170 = big_int_of_int 170
let bi171 = big_int_of_int 171
let bi172 = big_int_of_int 172
let bi173 = big_int_of_int 173
let bi174 = big_int_of_int 174
let bi175 = big_int_of_int 175
let bi176 = big_int_of_int 176
let bi177 = big_int_of_int 177
let bi178 = big_int_of_int 178
let bi179 = big_int_of_int 179
let bi180 = big_int_of_int 180
let bi181 = big_int_of_int 181
let bi182 = big_int_of_int 182
let bi183 = big_int_of_int 183
let bi184 = big_int_of_int 184
let bi185 = big_int_of_int 185
let bi186 = big_int_of_int 186
let bi187 = big_int_of_int 187
let bi188 = big_int_of_int 188
let bi189 = big_int_of_int 189
let bi190 = big_int_of_int 190
let bi191 = big_int_of_int 191
let bi192 = big_int_of_int 192
let bi193 = big_int_of_int 193
let bi194 = big_int_of_int 194
let bi195 = big_int_of_int 195
let bi196 = big_int_of_int 196
let bi197 = big_int_of_int 197
let bi198 = big_int_of_int 198
let bi199 = big_int_of_int 199
let bi200 = big_int_of_int 200
let bi201 = big_int_of_int 201
let bi202 = big_int_of_int 202
let bi203 = big_int_of_int 203
let bi204 = big_int_of_int 204
let bi205 = big_int_of_int 205
let bi206 = big_int_of_int 206
let bi207 = big_int_of_int 207
let bi208 = big_int_of_int 208
let bi209 = big_int_of_int 209
let bi210 = big_int_of_int 210
let bi211 = big_int_of_int 211
let bi212 = big_int_of_int 212
let bi213 = big_int_of_int 213
let bi214 = big_int_of_int 214
let bi215 = big_int_of_int 215
let bi216 = big_int_of_int 216
let bi217 = big_int_of_int 217
let bi218 = big_int_of_int 218
let bi219 = big_int_of_int 219
let bi220 = big_int_of_int 220
let bi221 = big_int_of_int 221
let bi222 = big_int_of_int 222
let bi223 = big_int_of_int 223
let bi224 = big_int_of_int 224
let bi225 = big_int_of_int 225
let bi226 = big_int_of_int 226
let bi227 = big_int_of_int 227
let bi228 = big_int_of_int 228
let bi229 = big_int_of_int 229
let bi230 = big_int_of_int 230
let bi231 = big_int_of_int 231
let bi232 = big_int_of_int 232
let bi233 = big_int_of_int 233
let bi234 = big_int_of_int 234
let bi235 = big_int_of_int 235
let bi236 = big_int_of_int 236
let bi237 = big_int_of_int 237
let bi238 = big_int_of_int 238
let bi239 = big_int_of_int 239
let bi240 = big_int_of_int 240
let bi241 = big_int_of_int 241
let bi242 = big_int_of_int 242
let bi243 = big_int_of_int 243
let bi244 = big_int_of_int 244
let bi245 = big_int_of_int 245
let bi246 = big_int_of_int 246
let bi247 = big_int_of_int 247
let bi248 = big_int_of_int 248
let bi249 = big_int_of_int 249
let bi250 = big_int_of_int 250
let bi251 = big_int_of_int 251
let bi252 = big_int_of_int 252
let bi253 = big_int_of_int 253
let bi254 = big_int_of_int 254
let bi255 = big_int_of_int 255
let bi256 = big_int_of_int 256
let bi257 = big_int_of_int 257
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