mirror of
https://github.com/ProgramSnail/pass_strategy_synthesis.git
synced 2026-03-11 18:47:08 +00:00
325 lines
11 KiB
OCaml
325 lines
11 KiB
OCaml
(* (,,) -< Pair.inj _ (Pair.inj _ _) *)
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module Relational =
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struct
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open GT
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open OCanren
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open OCanren.Std
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type data_ground = Nat.ground (* with show, gmap *)
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[@@deriving gt ~options:{ show; gmap }]
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type data_logic = Nat.logic
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[@@deriving gt ~options:{ show; gmap }]
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type data_injected = Nat.injected
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module Tag = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec t = Ref | Value
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = t
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]
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end
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module Stmt = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec ('d, 'dl) t = Call of 'd * 'dl | Read of 'd | Write of 'd
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = (Nat.ground, Nat.ground List.ground) t
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]
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end
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module Body = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec ('stmt, 'l) t = Body of ('stmt, 'l) List.t
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = (Stmt.ground, Stmt.ground List.ground) t
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]
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end
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module FunDecl = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec ('tag, 'lt, 'stmt, 'ls) t = FunDecl of ('tag, 'lt) List.t * ('stmt, 'ls) Body.t
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = (Tag.ground, Tag.ground List.ground, Stmt.ground, Stmt.ground List.ground) t
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]
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end
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module Prog = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec ('fd, 'lf, 'tag, 'lt, 'stmt, 'ls) t = Prog of ('fd, 'lf) List.t * ('tag, 'lt, 'stmt, 'ls) FunDecl.t
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = (FunDecl.ground, FunDecl.ground List.ground, Tag.ground, Tag.ground List.ground, Stmt.ground, Stmt.ground List.ground) t
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]
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end
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module Arg = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec 'd t = RValue | LValue of 'd
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = Nat.ground t
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]
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end
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module Value = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec t = Unit | Bot
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = t
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]
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end
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module Envr = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec ('d, 'l) t = Envr of ('d * 'd, 'l) List.t
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = (Nat.ground, Nat.ground List.ground) t
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]
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end
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module State = struct
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[@@@warning "-26-27-32-33-34-35-36-37-38-39-60-66-67"]
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[%%distrib
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type nonrec ('env, 'mem, 'last_mem, 'assignments) t = State of 'env * 'mem * 'last_mem * 'assignments
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[@@deriving gt ~options:{ show; gmap }]
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type nonrec ground = (Envr.ground, Value.ground List.ground, Nat.ground, Nat.ground List.ground) t
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]
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end
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let rec list_replace xs id value ys =
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conde
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[ (xs === Std.nil ()) &&& (ys === Std.nil ()) (* TODO: error *)
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; fresh (x xs') (xs === List.cons x xs') (id === Nat.o) (ys === List.cons value xs)
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; fresh (x xs' id' ys') (xs === List. cons x xs') (id === Nat.s id') (ys === List.cons x ys')
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(list_replace xs' id' value ys')
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]
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let rec list_assoc a xs v' =
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conde
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[ fresh (a' b' xs')
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(xs === List.cons (a', b') xs')
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(a =/= a')
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(list_assoc a xs' v')
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; fresh (a' b' xs')
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(xs === List.cons (a', b') xs')
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(a === a')
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(v' === b')
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]
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(* TODO: difference from List.assoco ?? *)
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let env_get state id mem_id' =
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fresh (env mem mem_len assignments)
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(state === inj (env, mem, mem_len, assignments))
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(list_assoc id env mem_id')
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(* (List.assoco id env mem_id') *)
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let env_add state id mem_id state' =
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fresh (env env' mem mem_len assignments)
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(state === inj (env, mem, mem_len, assignments))
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(state' === inj (env', mem, mem_len, assignments))
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(env' === List.cons (id, mem_id) env)
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let inv_id mem_len id id' =
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fresh (inv_id_inc)
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(Nat.addo inv_id_inc id mem_len)
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(Nat.addo id' (Nat.s Nat.o) inv_id_inc)
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(* --- *)
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let rec list_nth xs id x' =
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conde
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[ (xs === Std.nil ()) (* TODO: error *)
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; fresh (y' xs') (id === Nat.o) (List.cons y' xs' === xs) (x' === y')
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; fresh (id' y' xs') (Nat.s id' === id) (List.cons y' xs' === xs) (list_nth xs' id' x')
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]
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(* TODO: use real holes *)
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let mem_get state id value' =
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fresh (mem mem_len mem_id mem_id_inv env_ assignments_)
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(state === inj (env_, mem, mem_len, assignments_))
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(env_get state id mem_id)
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(inv_id mem_len mem_id mem_id_inv)
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(list_nth mem mem_id_inv value')
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let mem_set state id value state'=
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fresh (env mem mem_len assignments mem_id inv_mem_id mem')
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(state === inj (env, mem, mem_len, assignments))
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(env_get state id mem_id)
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(inv_id mem_len mem_id inv_mem_id)
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(list_replace mem mem_id value mem')
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(state' === inj (env, mem', mem_len, List.cons id assignments))
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let mem_add state value state' =
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fresh (env mem mem_len assignments mem')
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(state === inj (env, mem, mem_len, assignments))
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(mem' === List.cons value mem)
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(state' === inj (env, mem, Nat.s mem_len, assignments))
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let mem_check state id state' =
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conde
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[ (mem_get state id (inj Value.Bot)) &&& (state' === state) (* TODO: error *)
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; (mem_get state id (inj Value.Unit)) &&& (state' === state)
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]
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(* --- *)
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let rec list_foldl f acc xs acc' =
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conde
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[ (xs === Std.nil ()) &&& (acc' === acc)
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; fresh (x' xs' acc_upd)
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(xs === List.cons x' xs')
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(list_foldl f acc xs' acc_upd)
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(f acc_upd x' acc')
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]
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let rec list_foldr2 f acc xs ys acc' =
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conde
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[ (xs === Std.nil ()) &&& (ys === Std.nil ()) &&& (acc' === acc)
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; fresh (x' xs' y' ys' acc_upd)
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(xs === List.cons x' xs')
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(ys === List.cons y' ys')
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(f acc x' y' acc_upd)
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(list_foldr2 f acc_upd xs' ys' acc')
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]
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let rec list_foldl2 f acc xs ys acc' =
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conde
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[ (xs === Std.nil ()) &&& (ys === Std.nil ()) &&& (acc' === acc)
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; fresh (x' xs' y' ys' acc_upd)
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(xs === List.cons x' xs')
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(ys === List.cons y' ys')
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(list_foldl2 f acc xs' ys' acc_upd)
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(f acc_upd x' y' acc')
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]
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let arg_to_value state arg value' =
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conde
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[ (arg === inj Arg.RValue) &&& (value' === inj Value.Unit)
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; fresh (id) (arg === inj (Arg.LValue id)) (mem_get state id value')
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]
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let arg_to_rvalue _arg value' = (value' === inj Arg.RValue)
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let st_mem_len state mem_len' =
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fresh (env_ mem_ assignments_) (* TODO: replace with real placeholder ? *)
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(state === inj (env_, mem_, mem_len', assignments_))
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let st_add_arg state state_before id arg_tag arg state'' =
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conde
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[ (arg_tag === inj Tag.Ref) &&& (arg === inj Arg.RValue) &&& (state'' === state)
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(* TODO: error, TODO: allow later ?? *)
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; fresh (arg' value')
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(arg_tag === inj Tag.Ref)
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(arg === inj (Arg.LValue arg'))
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(env_get state_before arg' value')
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(env_add state id value' state'')
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; fresh (value' state' mem_len_dec')
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(arg_tag === inj Tag.Value)
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(arg_to_value state_before arg value')
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(mem_add state value' state')
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(st_mem_len state (Nat.s mem_len_dec'))
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(env_add state' id mem_len_dec' state'')
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]
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let st_spoil_folder mem_len state mem id mem' =
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fresh (mem_id' mem_id_inv')
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(env_get state id mem_id')
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(inv_id mem_len mem_id' mem_id_inv')
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(list_replace mem mem_id_inv' (inj Value.Bot) mem')
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let st_spoil_assignments state state' =
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fresh (env mem mem' mem_len assignments)
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(state === inj (env, mem, mem_len, assignments))
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(list_foldl (st_spoil_folder mem_len state) mem assignments mem')
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(* (List.fold_left (fun mem id -> list_replace mem (inv_id mem_len @@ env_get state id) BotV) mem assignments mem') *)
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(state' === inj (env, mem', mem_len, Std.nil ()))
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(* --- *)
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let arg_to_lvalue arg arg' = (arg' === inj (Arg.LValue arg))
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let rec list_drop n xs xs' =
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conde
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[ (xs === Std.nil ()) &&& (xs' === Std.nil ())
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; n === Nat.o &&& (xs === xs')
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; fresh (n' y ys) (Nat.s n' === n) (xs === List.cons y ys) (list_drop n' ys xs')
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]
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let rec eval_stmt state prog stmt state' =
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conde
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[ fresh (f_id args f args')
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(stmt === inj (Stmt.Call (f_id, args)))
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(list_nth prog f_id f)
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(List.mapo arg_to_lvalue args args')
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(eval_fun state prog f args' state')
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; fresh (id) (stmt === inj (Stmt.Read id)) (mem_check state id state')
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; fresh (id) (stmt === inj (Stmt.Write id)) (mem_set state id (inj Value.Unit) state')
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]
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and eval_body_folder prog state stmt state' = eval_stmt state prog stmt state'
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and eval_body state prog body state' =
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list_foldl (eval_body_folder prog) state body state'
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(* (List.fold_left (fun state stmt -> eval_stmt state prog stmt) state body) *)
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and add_arg_folder state_before state_c arg_tag arg state_c' =
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fresh (state id state' id')
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(state_c === inj (state, id))
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(st_add_arg state state_before id arg_tag arg state')
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(id' === Nat.s id)
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(state_c' === inj (state', id'))
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and eval_fun state prog decl args state' =
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fresh (arg_tags body
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env_before mem_before len_before assignments_before
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state_clean
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state_with_vars counter_
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state_evaled
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state_spoiled
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env_ mem_spoiled len assignments_
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mem_updated len_to_drop)
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(decl === inj (arg_tags, body))
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(state === inj (env_before, mem_before, len_before, assignments_before))
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(state_clean === inj (Std.nil (), mem_before, len_before, Std.nil ()))
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(list_foldl2 (add_arg_folder state) (inj (state, Nat.o)) arg_tags args (inj (state_with_vars, counter_))) (* TODO: replace with real placeholder *)
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(eval_body state_with_vars prog body state_evaled)
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(st_spoil_assignments state_evaled state_spoiled)
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(state_spoiled === inj (env_, mem_spoiled, len, assignments_))
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(Nat.addo len_to_drop len_before len)
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(list_drop len_to_drop mem_spoiled mem_updated)
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(state' === inj (env_before, mem_updated, len_before, assignments_before))
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and eval_fun_empty_args state prog decl state' =
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fresh (arg_tags args hole_) (* TODO: replace with real placeholder *)
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(decl === inj (arg_tags, hole_))
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(List.mapo arg_to_rvalue arg_tags args)
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(eval_fun state prog decl args state')
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(* --- *)
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let empty_state state = (state === inj (Std.nil (), Std.nil (), Nat.o, Std.nil ()))
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let eval_prog all_prog state' =
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fresh (prog main_decl state)
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(all_prog === inj (prog, main_decl))
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(empty_state state)
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(eval_fun_empty_args state prog main_decl state')
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(* let eval_prog_fwd all_prog = *)
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(* run q (fun q -> eval_prog (inj_state all_prog) q) *)
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(* (fun _ -> ()) *)
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(* let%expect_test "empty" = *)
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(* eval_prog_fwd ([], ([], [])); *)
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(* Printf.printf "done!"; *)
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(* [%expect {| done! |}] *)
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end
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