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type indexname = string * int;
(* Cut down version of a test that Makarius had already cut down.
This produced a segfault. *)
(* The problem turned out to be that there was a function that returned a pair
of tuples and only the first field of one of the tuples was used in the
non-recursive case but whole of the tuple was used in the recursive case. *)
type class = string;
type sort = class list;
type arity = string * sort list * sort;
datatype typ = Type of string * typ list
| TFree of string * sort
| TVar of indexname * sort;
datatype term =
Const of string * typ
| Free of string * typ
| Var of indexname * typ
| Bound of int
| Abs of string*typ*term
| op $ of term*term;
structure Generated_Code : sig
val value :
'a -> 'b -> bool -> 'b -> (bool * term list) option
end = struct
datatype num = One | Bit0 of num | Bit1 of num;
datatype inta = Zero_int | Pos of num | Neg of num;
datatype buggy_type = Buggy_Type of inta * inta;
val one_int : inta = Pos One;
val one_buggy_typea : buggy_type = Buggy_Type (one_int, Zero_int);
type 'a one = {one : 'a};
val one = #one : 'a one -> 'a;
val one_buggy_type = {one = one_buggy_typea} : buggy_type one;
fun plus_num _ _ = raise Match;
fun times_num (Bit1 m) (Bit1 n) =
Bit1 (plus_num (plus_num m n) (Bit0 (times_num m n)))
| times_num (Bit1 m) (Bit0 n) = Bit0 (times_num (Bit1 m) n)
| times_num (Bit0 m) (Bit1 n) = Bit0 (times_num m (Bit1 n))
| times_num (Bit0 m) (Bit0 n) = Bit0 (Bit0 (times_num m n))
| times_num One n = n
| times_num m One = m;
fun times_int (Neg m) (Neg n) = Pos (times_num m n)
| times_int (Neg m) (Pos n) = Neg (times_num m n)
| times_int (Pos m) (Neg n) = Neg (times_num m n)
| times_int (Pos m) (Pos n) = Pos (times_num m n)
| times_int Zero_int l = Zero_int
| times_int k Zero_int = Zero_int;
fun s (Buggy_Type (x1, x2)) = x2;
fun f (Buggy_Type (x1, x2)) = x1;
fun times_buggy_typea x y = Buggy_Type (s y, times_int (s x) (f y));
type 'a times = {times : 'a -> 'a -> 'a};
val times = #times : 'a times -> 'a -> 'a -> 'a;
type 'a power = {one_power : 'a one, times_power : 'a times};
val one_power = #one_power : 'a power -> 'a one;
val times_power = #times_power : 'a power -> 'a times;
val times_buggy_type = {times = times_buggy_typea} : buggy_type times;
val power_buggy_type =
{one_power = one_buggy_type, times_power = times_buggy_type} :
buggy_type power;
datatype nat = Zero_nat | Suc of nat;
fun term_of_num _ = raise Match
fun term_of_int _ = raise Match
fun term_of_buggy_type _ = raise Match
fun equal_num (Bit0 x2) (Bit1 x3) = false
| equal_num (Bit1 x3) (Bit0 x2) = false
| equal_num One (Bit1 x3) = false
| equal_num (Bit1 x3) One = false
| equal_num One (Bit0 x2) = false
| equal_num (Bit0 x2) One = false
| equal_num (Bit1 x3) (Bit1 y3) = equal_num x3 y3
| equal_num (Bit0 x2) (Bit0 y2) = equal_num x2 y2
| equal_num One One = true;
fun equal_int (Neg k) (Neg l) = equal_num k l
| equal_int (Neg k) (Pos l) = false
| equal_int (Neg k) Zero_int = false
| equal_int (Pos k) (Neg l) = false
| equal_int (Pos k) (Pos l) = equal_num k l
| equal_int (Pos k) Zero_int = false
| equal_int Zero_int (Neg l) = false
| equal_int Zero_int (Pos l) = false
| equal_int Zero_int Zero_int = true;
fun equal_buggy_type (Buggy_Type (x1, x2)) (Buggy_Type (y1, y2)) =
equal_int x1 y1 andalso equal_int x2 y2;
fun equal_natural _ _ = true
fun power A_ a Zero_nat = one (one_power A_)
| power A_ a (Suc n) = times (times_power A_) a (power A_ a n);
fun plus_nat (Suc m) n = plus_nat m (Suc n)
| plus_nat Zero_nat n = n;
val one_nat : nat = Suc Zero_nat;
fun nat_of_num (Bit1 n) = let
val m = nat_of_num n;
in
Suc (plus_nat m m)
end
| nat_of_num (Bit0 n) = let
val m = nat_of_num n;
in
plus_nat m m
end
| nat_of_num One = one_nat;
fun value dummy =
(fn uu =>
(if equal_natural uu 1
then (fn genuine_only => fn _ =>
((if equal_buggy_type
(power power_buggy_type (Buggy_Type (Zero_int, one_int))
(nat_of_num (Bit0 One)))
(Buggy_Type (one_int, Zero_int))
then NONE
else SOME (true,
[(term_of_buggy_type
(Buggy_Type
(one_int,
Zero_int)) handle Match => (Const
("Quickcheck_Exhaustive.unknown", Type
("Scratch.buggy_type", [])))),
(term_of_buggy_type
(power power_buggy_type
(Buggy_Type (Zero_int, one_int))
(nat_of_num
(Bit0 One))) handle Match => (Const
("Quickcheck_Exhaustive.unknown", Type
("Scratch.buggy_type", []))))])) handle Match => (if genuine_only
then NONE
else SOME
(false,
[(term_of_buggy_type
(Buggy_Type
(one_int,
Zero_int)) handle Match => (Const
("Quickcheck_Exhaustive.unknown", Type ("Scratch.buggy_type", [])))),
(term_of_buggy_type
(power power_buggy_type (Buggy_Type (Zero_int, one_int))
(nat_of_num
(Bit0 One))) handle Match => (Const
("Quickcheck_Exhaustive.unknown", Type
("Scratch.buggy_type", []))))]))))
else (fn _ => fn _ => NONE)));
end;
Generated_Code.value () 1 true 1;
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