(* Copyright (c) 2008, Adam Chlipala
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * - Redistributions of source code must retain the above copyright notice,
 *   this list of conditions and the following disclaimer.
 * - Redistributions in binary form must reproduce the above copyright notice,
 *   this list of conditions and the following disclaimer in the documentation
 *   and/or other materials provided with the distribution.
 * - The names of contributors may not be used to endorse or promote products
 *   derived from this software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR 
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 *)

(* Simplify a Mono program algebraically *)

structure MonoReduce :> MONO_REDUCE = struct

open Mono

structure E = MonoEnv
structure U = MonoUtil


fun impure (e, _) =
    case e of
        EWrite _ => true
      | EQuery _ => true
      | EDml _ => true
      | ENextval _ => true
      | EAbs _ => false

      | EPrim _ => false
      | ERel _ => false
      | ENamed _ => false
      | ECon (_, _, eo) => (case eo of NONE => false | SOME e => impure e)
      | ENone _ => false
      | ESome (_, e) => impure e
      | EFfi _ => false
      | EFfiApp _ => false
      | EApp ((EFfi _, _), _) => false
      | EApp _ => true

      | EUnop (_, e) => impure e
      | EBinop (_, e1, e2) => impure e1 orelse impure e2

      | ERecord xes => List.exists (fn (_, e, _) => impure e) xes
      | EField (e, _) => impure e

      | ECase (e, pes, _) => impure e orelse List.exists (fn (_, e) => impure e) pes

      | EError (e, _) => impure e

      | EStrcat (e1, e2) => impure e1 orelse impure e2

      | ESeq (e1, e2) => impure e1 orelse impure e2
      | ELet (_, _, e1, e2) => impure e1 orelse impure e2

      | EClosure (_, es) => List.exists impure es


val liftExpInExp = Monoize.liftExpInExp

val subExpInExp' =
    U.Exp.mapB {typ = fn t => t,
                exp = fn (xn, rep) => fn e =>
                                  case e of
                                      ERel xn' =>
                                      (case Int.compare (xn', xn) of
                                           EQUAL => #1 rep
                                         | GREATER=> ERel (xn' - 1)
                                         | LESS => e)
                                    | _ => e,
                bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, liftExpInExp 0 rep)
                        | (ctx, _) => ctx}

fun subExpInExp (n, e1) e2 =
    let
        val r = subExpInExp' (n, e1) e2
    in
        (*Print.prefaces "subExpInExp" [("e1", MonoPrint.p_exp MonoEnv.empty e1),
                                      ("e2", MonoPrint.p_exp MonoEnv.empty e2),
                                      ("r", MonoPrint.p_exp MonoEnv.empty r)];*)
        r
    end

fun typ c = c

val swapExpVars =
    U.Exp.mapB {typ = fn t => t,
                exp = fn lower => fn e =>
                                     case e of
                                         ERel xn =>
                                         if xn = lower then
                                             ERel (lower + 1)
                                         else if xn = lower + 1 then
                                             ERel lower
                                         else
                                             e
                                       | _ => e,
                bind = fn (lower, U.Exp.RelE _) => lower+1
                        | (lower, _) => lower}

val swapExpVarsPat =
    U.Exp.mapB {typ = fn t => t,
                exp = fn (lower, len) => fn e =>
                                     case e of
                                         ERel xn =>
                                         if xn = lower then
                                             ERel (lower + 1)
                                         else if xn >= lower + 1 andalso xn < lower + 1 + len then
                                             ERel (xn - 1)
                                         else
                                             e
                                       | _ => e,
                bind = fn ((lower, len), U.Exp.RelE _) => (lower+1, len)
                        | (st, _) => st}

datatype result = Yes of E.env | No | Maybe

fun match (env, p : pat, e : exp) =
    case (#1 p, #1 e) of
        (PWild, _) => Yes env
      | (PVar (x, t), _) => Yes (E.pushERel env x t (SOME e))

      | (PPrim (Prim.String s), EStrcat ((EPrim (Prim.String s'), _), _)) =>
        if String.isPrefix s' s then
            Maybe
        else
            No

      | (PPrim p, EPrim p') =>
        if Prim.equal (p, p') then
            Yes env
        else
            No

      | (PCon (_, PConVar n1, NONE), ECon (_, PConVar n2, NONE)) =>
        if n1 = n2 then
            Yes env
        else
            No

      | (PCon (_, PConVar n1, SOME p), ECon (_, PConVar n2, SOME e)) =>
        if n1 = n2 then
            match (env, p, e)
        else
            No

      | (PCon (_, PConFfi {mod = m1, con = con1, ...}, NONE), ECon (_, PConFfi {mod = m2, con = con2, ...}, NONE)) =>
        if m1 = m2 andalso con1 = con2 then
            Yes env
        else
            No

      | (PCon (_, PConFfi {mod = m1, con = con1, ...}, SOME ep), ECon (_, PConFfi {mod = m2, con = con2, ...}, SOME e)) =>
        if m1 = m2 andalso con1 = con2 then
            match (env, p, e)
        else
            No

      | (PRecord xps, ERecord xes) =>
        let
            fun consider (xps, env) =
                case xps of
                    [] => Yes env
                  | (x, p, _) :: rest =>
                    case List.find (fn (x', _, _) => x' = x) xes of
                        NONE => No
                      | SOME (_, e, _) =>
                        case match (env, p, e) of
                            No => No
                          | Maybe => Maybe
                          | Yes env => consider (rest, env)
        in
            consider (xps, env)
        end

      | _ => Maybe

datatype event =
         WritePage
       | ReadDb
       | WriteDb
       | UseRel of int
       | Unsure

fun p_event e =
    let
        open Print.PD
    in
        case e of
            WritePage => string "WritePage"
          | ReadDb => string "ReadDb"
          | WriteDb => string "WriteDb"
          | UseRel n => string ("UseRel" ^ Int.toString n)
          | Unsure => string "Unsure"
    end

fun patBinds (p, _) =
    case p of
        PWild => 0
      | PVar _ => 1
      | PPrim _ => 0
      | PCon (_, _, NONE) => 0
      | PCon (_, _, SOME p) => patBinds p
      | PRecord xpts => foldl (fn ((_, p, _), n) => n + patBinds p) 0 xpts
      | PNone _ => 0
      | PSome (_, p) => patBinds p

fun summarize d (e, _) =
    case e of
        EPrim _ => []
      | ERel n => if n >= d then [UseRel (n - d)] else []
      | ENamed _ => []
      | ECon (_, _, NONE) => []
      | ECon (_, _, SOME e) => summarize d e
      | ENone _ => []
      | ESome (_, e) => summarize d e
      | EFfi _ => []
      | EFfiApp (_, _, es) => List.concat (map (summarize d) es)
      | EApp ((EFfi _, _), e) => summarize d e
      | EApp _ => [Unsure]
      | EAbs _ => []

      | EUnop (_, e) => summarize d e
      | EBinop (_, e1, e2) => summarize d e1 @ summarize d e2

      | ERecord xets => List.concat (map (summarize d o #2) xets)
      | EField (e, _) => summarize d e

      | ECase (e, pes, _) =>
        let
            val lss = map (fn (p, e) => summarize (d + patBinds p) e) pes
        in
            case lss of
                [] => raise Fail "Empty pattern match"
              | ls :: lss =>
                if List.all (fn ls' => ls' = ls) lss then
                    summarize d e @ ls
                else
                    [Unsure]
        end
      | EStrcat (e1, e2) => summarize d e1 @ summarize d e2

      | EError (e, _) => summarize d e @ [Unsure]

      | EWrite e => summarize d e @ [WritePage]
        
      | ESeq (e1, e2) => summarize d e1 @ summarize d e2
      | ELet (_, _, e1, e2) => summarize d e1 @ summarize (d + 1) e2

      | EClosure (_, es) => List.concat (map (summarize d) es)

      | EQuery {query, body, initial, ...} =>
        List.concat [summarize d query,
                     summarize (d + 2) body,
                     summarize d initial,
                     [ReadDb]]

      | EDml e => summarize d e @ [WriteDb]
      | ENextval e => summarize d e @ [WriteDb]

fun exp env e =
    let
        (*val () = Print.prefaces "exp" [("e", MonoPrint.p_exp env (e, ErrorMsg.dummySpan))]*)

        val r =
            case e of
                ERel n =>
                (case E.lookupERel env n of
                     (_, _, SOME e') => #1 e'
                   | _ => e)
              | ENamed n =>
                (case E.lookupENamed env n of
                     (_, _, SOME e', _) => ((*Print.prefaces "Switch" [("n", Print.PD.string (Int.toString n)),
                                                                     ("e'", MonoPrint.p_exp env e')];*)
                                            #1 e')
                   | _ => e)

              | EApp ((EAbs (x, t, _, e1), loc), e2) =>
                ((*Print.prefaces "Considering" [("e1", MonoPrint.p_exp (E.pushERel env x t NONE) e1),
                                               ("e2", MonoPrint.p_exp env e2),
                                               ("sub", MonoPrint.p_exp env (reduceExp env (subExpInExp (0, e2) e1)))];*)
                 if impure e2 then
                     #1 (reduceExp env (ELet (x, t, e2, e1), loc))
                 else
                     #1 (reduceExp env (subExpInExp (0, e2) e1)))

              | ECase (e', pes, {disc, result}) =>
                let
                    fun push () =
                        case result of
                            (TFun (dom, result), loc) =>
                            if List.all (fn (_, (EAbs _, _)) => true | _ => false) pes then
                                EAbs ("_", dom, result,
                                      (ECase (liftExpInExp 0 e',
                                              map (fn (p, (EAbs (_, _, _, e), _)) =>
                                                      (p, swapExpVarsPat (0, patBinds p) e)
                                                    | _ => raise Fail "MonoReduce ECase") pes,
                                              {disc = disc, result = result}), loc))
                            else
                                e
                          | _ => e

                    fun search pes =
                        case pes of
                            [] => push ()
                          | (p, body) :: pes =>
                            case match (env, p, e') of
                                No => search pes
                              | Maybe => push ()
                              | Yes env => #1 (reduceExp env body)
                in
                    search pes
                end

              | EField ((ERecord xes, _), x) =>
                (case List.find (fn (x', _, _) => x' = x) xes of
                     SOME (_, e, _) => #1 e
                   | NONE => e)

              | ELet (x1, t1, (ELet (x2, t2, e1, b1), loc), b2) =>
                let
                    val e' = (ELet (x2, t2, e1,
                                    (ELet (x1, t1, b1,
                                           liftExpInExp 1 b2), loc)), loc)
                in
                    (*Print.prefaces "ELet commute" [("e", MonoPrint.p_exp env (e, loc)),
                                                     ("e'", MonoPrint.p_exp env e')];*)
                    #1 (reduceExp env e')
                end
              | EApp ((ELet (x, t, e, b), loc), e') =>
                #1 (reduceExp env (ELet (x, t, e,
                                         (EApp (b, liftExpInExp 0 e'), loc)), loc))

              | ELet (x, t, e, (EAbs (x', t' as (TRecord [], _), ran, e'), loc)) =>
                EAbs (x', t', ran, (ELet (x, t, liftExpInExp 0 e, swapExpVars 0 e'), loc))

              | ELet (x, t, e', b) =>
                let
                    fun doSub () = #1 (reduceExp env (subExpInExp (0, e') b))

                    fun trySub () =
                        case t of
                            (TFfi ("Basis", "string"), _) => doSub ()
                          | _ =>
                            case e' of
                                (ECase _, _) => e
                              | _ => doSub ()
                in
                    if impure e' then
                        let
                            val effs_e' = summarize 0 e'
                            val effs_b = summarize 0 b

                            fun does eff = List.exists (fn eff' => eff' = eff) effs_e'
                            val writesPage = does WritePage
                            val readsDb = does ReadDb
                            val writesDb = does WriteDb

                            fun verifyUnused eff =
                                case eff of
                                    UseRel r => r <> 0
                                  | Unsure => false
                                  | _ => true

                            fun verifyCompatible effs =
                                case effs of
                                    [] => false
                                  | eff :: effs =>
                                    case eff of
                                        Unsure => false
                                      | UseRel r =>
                                        if r = 0 then
                                            List.all verifyUnused effs
                                        else
                                            verifyCompatible effs
                                      | WritePage => not writesPage andalso verifyCompatible effs
                                      | ReadDb => not writesDb andalso verifyCompatible effs
                                      | WriteDb => not writesDb andalso not readsDb andalso verifyCompatible effs
                        in
                            (*Print.prefaces "verifyCompatible"
                                             [("e'", MonoPrint.p_exp env e'),
                                              ("b", MonoPrint.p_exp (E.pushERel env x t NONE) b),
                                              ("effs_e'", Print.p_list p_event effs_e'),
                                              ("effs_b", Print.p_list p_event effs_b)];*)
                            if verifyCompatible effs_b then
                                trySub ()
                            else
                                e
                        end
                    else
                        trySub ()
                end

              | EStrcat ((EPrim (Prim.String s1), _), (EPrim (Prim.String s2), _)) =>
                EPrim (Prim.String (s1 ^ s2))

              | _ => e
    in
        (*Print.prefaces "exp'" [("r", MonoPrint.p_exp env (r, ErrorMsg.dummySpan))];*)
        r
    end

and bind (env, b) =
    case b of
        U.Decl.Datatype (x, n, xncs) => E.pushDatatype env x n xncs
      | U.Decl.RelE (x, t) => E.pushERel env x t NONE
      | U.Decl.NamedE (x, n, t, eo, s) => E.pushENamed env x n t (Option.map (reduceExp env) eo) s

and reduceExp env = U.Exp.mapB {typ = typ, exp = exp, bind = bind} env

fun decl env d = d

val reduce = U.File.mapB {typ = typ, exp = exp, decl = decl, bind = bind} E.empty

end