diff options
| author | Brian Campbell | 2020-06-10 21:33:09 +0100 |
|---|---|---|
| committer | Brian Campbell | 2020-06-10 21:38:06 +0100 |
| commit | d2b4a7a1d654cf8f315e2471b1470506255f3d68 (patch) | |
| tree | 607a709d4912b80a7eb3966ad88a25d7b7bd159c /lib/coq/Sail2_state_monad.v | |
| parent | 18719e6801e804c4f5302745bb7cfb6dfe3a6c98 (diff) | |
Prepare Coq library for packaging
- rename files to get rid of prefix
- use -Q to get package name right
- add Base.v to make package imports simpler
- add opam file for coq package
Diffstat (limited to 'lib/coq/Sail2_state_monad.v')
| -rw-r--r-- | lib/coq/Sail2_state_monad.v | 326 |
1 files changed, 0 insertions, 326 deletions
diff --git a/lib/coq/Sail2_state_monad.v b/lib/coq/Sail2_state_monad.v deleted file mode 100644 index 3fb1f8d9..00000000 --- a/lib/coq/Sail2_state_monad.v +++ /dev/null @@ -1,326 +0,0 @@ -Require Import Sail2_instr_kinds. -Require Import Sail2_values. -Require FMapList. -Require Import OrderedType. -Require OrderedTypeEx. -Require Import List. -Require bbv.Word. -Import ListNotations. - -(* TODO: revisit choice of FMapList *) -Module NatMap := FMapList.Make(OrderedTypeEx.Nat_as_OT). - -Definition Memstate : Type := NatMap.t memory_byte. -Definition Tagstate : Type := NatMap.t bitU. -(* type regstate = map string (vector bitU) *) - -(* We deviate from the Lem library and prefix the fields with ss_ to avoid - name clashes. *) -Record sequential_state {Regs} := - { ss_regstate : Regs; - ss_memstate : Memstate; - ss_tagstate : Tagstate }. -Arguments sequential_state : clear implicits. - -(*val init_state : forall 'regs. 'regs -> sequential_state 'regs*) -Definition init_state {Regs} regs : sequential_state Regs := - {| ss_regstate := regs; - ss_memstate := NatMap.empty _; - ss_tagstate := NatMap.empty _ |}. - -Inductive ex E := - | Failure : string -> ex E - | Throw : E -> ex E. -Arguments Failure {E} _. -Arguments Throw {E} _. - -Inductive result A E := - | Value : A -> result A E - | Ex : ex E -> result A E. -Arguments Value {A} {E} _. -Arguments Ex {A} {E} _. - -(* State, nondeterminism and exception monad with result value type 'a - and exception type 'e. *) -(* TODO: the list was originally a set, can we reasonably go back to a set? *) -Definition monadS Regs a e : Type := - sequential_state Regs -> list (result a e * sequential_state Regs). - -(*val returnS : forall 'regs 'a 'e. 'a -> monadS 'regs 'a 'e*) -Definition returnS {Regs A E} (a:A) : monadS Regs A E := fun s => [(Value a,s)]. - -(*val bindS : forall 'regs 'a 'b 'e. monadS 'regs 'a 'e -> ('a -> monadS 'regs 'b 'e) -> monadS 'regs 'b 'e*) -Definition bindS {Regs A B E} (m : monadS Regs A E) (f : A -> monadS Regs B E) : monadS Regs B E := - fun (s : sequential_state Regs) => - List.flat_map (fun v => match v with - | (Value a, s') => f a s' - | (Ex e, s') => [(Ex e, s')] - end) (m s). - -(*val seqS: forall 'regs 'b 'e. monadS 'regs unit 'e -> monadS 'regs 'b 'e -> monadS 'regs 'b 'e*) -Definition seqS {Regs B E} (m : monadS Regs unit E) (n : monadS Regs B E) : monadS Regs B E := - bindS m (fun (_ : unit) => n). -(* -let inline (>>$=) = bindS -let inline (>>$) = seqS -*) -Notation "m >>$= f" := (bindS m f) (at level 50, left associativity). -Notation "m >>$ n" := (seqS m n) (at level 50, left associativity). - -(*val chooseS : forall 'regs 'a 'e. SetType 'a => list 'a -> monadS 'regs 'a 'e*) -Definition chooseS {Regs A E} (xs : list A) : monadS Regs A E := - fun s => (List.map (fun x => (Value x, s)) xs). - -(*val readS : forall 'regs 'a 'e. (sequential_state 'regs -> 'a) -> monadS 'regs 'a 'e*) -Definition readS {Regs A E} (f : sequential_state Regs -> A) : monadS Regs A E := - (fun s => returnS (f s) s). - -(*val updateS : forall 'regs 'e. (sequential_state 'regs -> sequential_state 'regs) -> monadS 'regs unit 'e*) -Definition updateS {Regs E} (f : sequential_state Regs -> sequential_state Regs) : monadS Regs unit E := - (fun s => returnS tt (f s)). - -(*val failS : forall 'regs 'a 'e. string -> monadS 'regs 'a 'e*) -Definition failS {Regs A E} msg : monadS Regs A E := - fun s => [(Ex (Failure msg), s)]. - -(*val choose_boolS : forall 'regval 'regs 'a 'e. unit -> monadS 'regs bool 'e*) -Definition choose_boolS {Regs E} (_:unit) : monadS Regs bool E := - chooseS [false; true]. -Definition undefined_boolS {Regs E} := @choose_boolS Regs E. - -(*val exitS : forall 'regs 'e 'a. unit -> monadS 'regs 'a 'e*) -Definition exitS {Regs A E} (_:unit) : monadS Regs A E := failS "exit". - -(*val throwS : forall 'regs 'a 'e. 'e -> monadS 'regs 'a 'e*) -Definition throwS {Regs A E} (e : E) :monadS Regs A E := - fun s => [(Ex (Throw e), s)]. - -(*val try_catchS : forall 'regs 'a 'e1 'e2. monadS 'regs 'a 'e1 -> ('e1 -> monadS 'regs 'a 'e2) -> monadS 'regs 'a 'e2*) -Definition try_catchS {Regs A E1 E2} (m : monadS Regs A E1) (h : E1 -> monadS Regs A E2) : monadS Regs A E2 := -fun s => - List.flat_map (fun v => match v with - | (Value a, s') => returnS a s' - | (Ex (Throw e), s') => h e s' - | (Ex (Failure msg), s') => [(Ex (Failure msg), s')] - end) (m s). - -(*val assert_expS : forall 'regs 'e. bool -> string -> monadS 'regs unit 'e*) -Definition assert_expS {Regs E} (exp : bool) (msg : string) : monadS Regs unit E := - if exp then returnS tt else failS msg. - -Definition assert_expS' {Regs E} (exp : bool) (msg : string) : monadS Regs (exp = true) E := - if exp return monadS Regs (exp = true) E then returnS eq_refl else failS msg. - -(* For early return, we abuse exceptions by throwing and catching - the return value. The exception type is "either 'r 'e", where "Right e" - represents a proper exception and "Left r" an early return of value "r". *) -Definition monadRS Regs A R E := monadS Regs A (sum R E). - -(*val early_returnS : forall 'regs 'a 'r 'e. 'r -> monadRS 'regs 'a 'r 'e*) -Definition early_returnS {Regs A R E} (r : R) : monadRS Regs A R E := throwS (inl r). - -(*val catch_early_returnS : forall 'regs 'a 'e. monadRS 'regs 'a 'a 'e -> monadS 'regs 'a 'e*) -Definition catch_early_returnS {Regs A E} (m : monadRS Regs A A E) : monadS Regs A E := - try_catchS m - (fun v => match v with - | inl a => returnS a - | inr e => throwS e - end). - -(* Lift to monad with early return by wrapping exceptions *) -(*val liftRS : forall 'a 'r 'regs 'e. monadS 'regs 'a 'e -> monadRS 'regs 'a 'r 'e*) -Definition liftRS {A R Regs E} (m : monadS Regs A E) : monadRS Regs A R E := - try_catchS m (fun e => throwS (inr e)). - -(* Catch exceptions in the presence of early returns *) -(*val try_catchRS : forall 'regs 'a 'r 'e1 'e2. monadRS 'regs 'a 'r 'e1 -> ('e1 -> monadRS 'regs 'a 'r 'e2) -> monadRS 'regs 'a 'r 'e2*) -Definition try_catchRS {Regs A R E1 E2} (m : monadRS Regs A R E1) (h : E1 -> monadRS Regs A R E2) : monadRS Regs A R E2 := - try_catchS m - (fun v => match v with - | inl r => throwS (inl r) - | inr e => h e - end). - -(*val maybe_failS : forall 'regs 'a 'e. string -> maybe 'a -> monadS 'regs 'a 'e*) -Definition maybe_failS {Regs A E} msg (v : option A) : monadS Regs A E := -match v with - | Some a => returnS a - | None => failS msg -end. - -(*val read_tagS : forall 'regs 'a 'e. Bitvector 'a => 'a -> monadS 'regs bitU 'e*) -Definition read_tagS {Regs A E} (addr : mword A) : monadS Regs bitU E := - let addr := Word.wordToNat (get_word addr) in - readS (fun s => opt_def B0 (NatMap.find addr s.(ss_tagstate))). - -Fixpoint genlist_acc {A:Type} (f : nat -> A) n acc : list A := - match n with - | O => acc - | S n' => genlist_acc f n' (f n' :: acc) - end. -Definition genlist {A} f n := @genlist_acc A f n []. - - -(* Read bytes from memory and return in little endian order *) -(*val get_mem_bytes : forall 'regs. nat -> nat -> sequential_state 'regs -> maybe (list memory_byte * bitU)*) -Definition get_mem_bytes {Regs} addr sz (s : sequential_state Regs) : option (list memory_byte * bitU) := - let addrs := genlist (fun n => addr + n)%nat sz in - let read_byte s addr := NatMap.find addr s.(ss_memstate) in - let read_tag s addr := opt_def B0 (NatMap.find addr s.(ss_tagstate)) in - option_map - (fun mem_val => (mem_val, List.fold_left and_bit (List.map (read_tag s) addrs) B1)) - (just_list (List.map (read_byte s) addrs)). - -(*val read_memt_bytesS : forall 'regs 'e. read_kind -> nat -> nat -> monadS 'regs (list memory_byte * bitU) 'e*) -Definition read_memt_bytesS {Regs E} (_ : read_kind) addr sz : monadS Regs (list memory_byte * bitU) E := - readS (get_mem_bytes addr sz) >>$= - maybe_failS "read_memS". - -(*val read_mem_bytesS : forall 'regs 'e. read_kind -> nat -> nat -> monadS 'regs (list memory_byte) 'e*) -Definition read_mem_bytesS {Regs E} (rk : read_kind) addr sz : monadS Regs (list memory_byte) E := - read_memt_bytesS rk addr sz >>$= (fun '(bytes, _) => - returnS bytes). - -(*val read_memtS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monadS 'regs ('b * bitU) 'e*) -Definition read_memtS {Regs E A B} (rk : read_kind) (a : mword A) sz `{ArithFact (B >=? 0)} : monadS Regs (mword B * bitU) E := - let a := Word.wordToNat (get_word a) in - read_memt_bytesS rk a (Z.to_nat sz) >>$= (fun '(bytes, tag) => - maybe_failS "bits_of_mem_bytes" (of_bits (bits_of_mem_bytes bytes)) >>$= (fun mem_val => - returnS (mem_val, tag))). - -(*val read_memS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monadS 'regs 'b 'e*) -Definition read_memS {Regs E A B} rk (a : mword A) sz `{ArithFact (B >=? 0)} : monadS Regs (mword B) E := - read_memtS rk a sz >>$= (fun '(bytes, _) => - returnS bytes). - -(*val excl_resultS : forall 'regs 'e. unit -> monadS 'regs bool 'e*) -Definition excl_resultS {Regs E} : unit -> monadS Regs bool E := - (* TODO: This used to be more deterministic, checking a flag in the state - whether an exclusive load has occurred before. However, this does not - seem very precise; it might be safer to overapproximate the possible - behaviours by always making a nondeterministic choice. *) - @undefined_boolS Regs E. - -(* Write little-endian list of bytes to given address *) -(*val put_mem_bytes : forall 'regs. nat -> nat -> list memory_byte -> bitU -> sequential_state 'regs -> sequential_state 'regs*) -Definition put_mem_bytes {Regs} addr sz (v : list memory_byte) (tag : bitU) (s : sequential_state Regs) : sequential_state Regs := - let addrs := genlist (fun n => addr + n)%nat sz in - let a_v := List.combine addrs v in - let write_byte mem '(addr, v) := NatMap.add addr v mem in - let write_tag mem addr := NatMap.add addr tag mem in - {| ss_regstate := s.(ss_regstate); - ss_memstate := List.fold_left write_byte a_v s.(ss_memstate); - ss_tagstate := List.fold_left write_tag addrs s.(ss_tagstate) |}. - -(*val write_memt_bytesS : forall 'regs 'e. write_kind -> nat -> nat -> list memory_byte -> bitU -> monadS 'regs bool 'e*) -Definition write_memt_bytesS {Regs E} (_ : write_kind) addr sz (v : list memory_byte) (t : bitU) : monadS Regs bool E := - updateS (put_mem_bytes addr sz v t) >>$ - returnS true. - -(*val write_mem_bytesS : forall 'regs 'e. write_kind -> nat -> nat -> list memory_byte -> monadS 'regs bool 'e*) -Definition write_mem_bytesS {Regs E} wk addr sz (v : list memory_byte) : monadS Regs bool E := - write_memt_bytesS wk addr sz v B0. - -(*val write_memtS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => - write_kind -> 'a -> integer -> 'b -> bitU -> monadS 'regs bool 'e*) -Definition write_memtS {Regs E A B} wk (addr : mword A) sz (v : mword B) (t : bitU) : monadS Regs bool E := - match (Word.wordToNat (get_word addr), mem_bytes_of_bits v) with - | (addr, Some v) => write_memt_bytesS wk addr (Z.to_nat sz) v t - | _ => failS "write_mem" - end. - -(*val write_memS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => - write_kind -> 'a -> integer -> 'b -> monadS 'regs bool 'e*) -Definition write_memS {Regs E A B} wk (addr : mword A) sz (v : mword B) : monadS Regs bool E := - write_memtS wk addr sz v B0. - -(*val read_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> monadS 'regs 'a 'e*) -Definition read_regS {Regs RV A E} (reg : register_ref Regs RV A) : monadS Regs A E := - readS (fun s => reg.(read_from) s.(ss_regstate)). - -(* TODO -let read_reg_range reg i j state = - let v = slice (get_reg state (name_of_reg reg)) i j in - [(Value (vec_to_bvec v),state)] -let read_reg_bit reg i state = - let v = access (get_reg state (name_of_reg reg)) i in - [(Value v,state)] -let read_reg_field reg regfield = - let (i,j) = register_field_indices reg regfield in - read_reg_range reg i j -let read_reg_bitfield reg regfield = - let (i,_) = register_field_indices reg regfield in - read_reg_bit reg i *) - -(*val read_regvalS : forall 'regs 'rv 'e. - register_accessors 'regs 'rv -> string -> monadS 'regs 'rv 'e*) -Definition read_regvalS {Regs RV E} (acc : register_accessors Regs RV) reg : monadS Regs RV E := - let '(read, _) := acc in - readS (fun s => read reg s.(ss_regstate)) >>$= (fun v => match v with - | Some v => returnS v - | None => failS ("read_regvalS " ++ reg) - end). - -(*val write_regvalS : forall 'regs 'rv 'e. - register_accessors 'regs 'rv -> string -> 'rv -> monadS 'regs unit 'e*) -Definition write_regvalS {Regs RV E} (acc : register_accessors Regs RV) reg (v : RV) : monadS Regs unit E := - let '(_, write) := acc in - readS (fun s => write reg v s.(ss_regstate)) >>$= (fun x => match x with - | Some rs' => updateS (fun s => {| ss_regstate := rs'; ss_memstate := s.(ss_memstate); ss_tagstate := s.(ss_tagstate) |}) - | None => failS ("write_regvalS " ++ reg) - end). - -(*val write_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> 'a -> monadS 'regs unit 'e*) -Definition write_regS {Regs RV A E} (reg : register_ref Regs RV A) (v:A) : monadS Regs unit E := - updateS (fun s => {| ss_regstate := reg.(write_to) v s.(ss_regstate); ss_memstate := s.(ss_memstate); ss_tagstate := s.(ss_tagstate) |}). - -(* TODO -val update_reg : forall 'regs 'rv 'a 'b 'e. register_ref 'regs 'rv 'a -> ('a -> 'b -> 'a) -> 'b -> monadS 'regs unit 'e -let update_reg reg f v state = - let current_value = get_reg state reg in - let new_value = f current_value v in - [(Value (), set_reg state reg new_value)] - -let write_reg_field reg regfield = update_reg reg regfield.set_field - -val update_reg_range : forall 'regs 'rv 'a 'b. Bitvector 'a, Bitvector 'b => register_ref 'regs 'rv 'a -> integer -> integer -> 'a -> 'b -> 'a -let update_reg_range reg i j reg_val new_val = set_bits (reg.is_inc) reg_val i j (bits_of new_val) -let write_reg_range reg i j = update_reg reg (update_reg_range reg i j) - -let update_reg_pos reg i reg_val x = update_list reg.is_inc reg_val i x -let write_reg_pos reg i = update_reg reg (update_reg_pos reg i) - -let update_reg_bit reg i reg_val bit = set_bit (reg.is_inc) reg_val i (to_bitU bit) -let write_reg_bit reg i = update_reg reg (update_reg_bit reg i) - -let update_reg_field_range regfield i j reg_val new_val = - let current_field_value = regfield.get_field reg_val in - let new_field_value = set_bits (regfield.field_is_inc) current_field_value i j (bits_of new_val) in - regfield.set_field reg_val new_field_value -let write_reg_field_range reg regfield i j = update_reg reg (update_reg_field_range regfield i j) - -let update_reg_field_pos regfield i reg_val x = - let current_field_value = regfield.get_field reg_val in - let new_field_value = update_list regfield.field_is_inc current_field_value i x in - regfield.set_field reg_val new_field_value -let write_reg_field_pos reg regfield i = update_reg reg (update_reg_field_pos regfield i) - -let update_reg_field_bit regfield i reg_val bit = - let current_field_value = regfield.get_field reg_val in - let new_field_value = set_bit (regfield.field_is_inc) current_field_value i (to_bitU bit) in - regfield.set_field reg_val new_field_value -let write_reg_field_bit reg regfield i = update_reg reg (update_reg_field_bit regfield i)*) - -(* TODO Add Show typeclass for value and exception type *) -(*val show_result : forall 'a 'e. result 'a 'e -> string*) -Definition show_result {A E} (x : result A E) : string := match x with - | Value _ => "Value ()" - | Ex (Failure msg) => "Failure " ++ msg - | Ex (Throw _) => "Throw" -end. - -(*val prerr_results : forall 'a 'e 's. SetType 's => set (result 'a 'e * 's) -> unit*) -Definition prerr_results {A E S} (rs : list (result A E * S)) : unit := tt. -(* let _ = Set.map (fun (r, _) -> let _ = prerr_endline (show_result r) in ()) rs in - ()*) - |
