(* 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 Core program algebraically *)

structure Reduce :> REDUCE = struct

open Core

structure E = CoreEnv
structure U = CoreUtil

val liftConInCon = E.liftConInCon
val subConInCon = E.subConInCon

val liftExpInExp =
    U.Exp.mapB {kind = fn k => k,
                con = fn _ => fn c => c,
                exp = fn bound => fn e =>
                                     case e of
                                         ERel xn =>
                                         if xn < bound then
                                             e
                                         else
                                             ERel (xn + 1)
                                       | _ => e,
                bind = fn (bound, U.Exp.RelE _) => bound + 1
                        | (bound, _) => bound}

val subExpInExp =
    U.Exp.mapB {kind = fn k => k,
                con = fn _ => fn c => c,
                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}

val liftConInExp =
    U.Exp.mapB {kind = fn k => k,
                con = fn bound => fn c =>
                                     case c of
                                         CRel xn =>
                                         if xn < bound then
                                             c
                                         else
                                             CRel (xn + 1)
                                       | _ => c,
                exp = fn _ => fn e => e,
                bind = fn (bound, U.Exp.RelC _) => bound + 1
                        | (bound, _) => bound}

val subConInExp =
    U.Exp.mapB {kind = fn k => k,
                con = fn (xn, rep) => fn c =>
                                  case c of
                                      CRel xn' =>
                                      (case Int.compare (xn', xn) of
                                           EQUAL => #1 rep
                                         | GREATER => CRel (xn' - 1)
                                         | LESS => c)
                                    | _ => c,
                exp = fn _ => fn e => e,
                bind = fn ((xn, rep), U.Exp.RelC _) => (xn+1, liftConInCon 0 rep)
                        | (ctx, _) => ctx}

fun bindC (env, b) =
    case b of
        U.Con.Rel (x, k) => E.pushCRel env x k
      | U.Con.Named (x, n, k, co) => E.pushCNamed env x n k co

fun bind (env, b) =
    case b of
        U.Decl.RelC (x, k) => E.pushCRel env x k
      | U.Decl.NamedC (x, n, k, co) => E.pushCNamed env x n k co
      | U.Decl.RelE (x, t) => E.pushERel env x t
      | U.Decl.NamedE (x, n, t, eo, s) => E.pushENamed env x n t eo s

fun kind k = k

fun con env c =
    case c of
        CApp ((CApp ((CApp ((CFold ks, _), f), _), i), loc), (CRecord (k, xcs), _)) =>
        (case xcs of
             [] => #1 i
           | (n, v) :: rest =>
             #1 (reduceCon env (CApp ((CApp ((CApp (f, n), loc), v), loc),
                                      (CApp ((CApp ((CApp ((CFold ks, loc), f), loc), i), loc),
                                             (CRecord (k, rest), loc)), loc)), loc)))
      | CApp ((CAbs (_, _, c1), loc), c2) =>
        #1 (reduceCon env (subConInCon (0, c2) c1))
      | CNamed n =>
        (case E.lookupCNamed env n of
             (_, _, SOME c') => #1 c'
           | _ => c)
      | CConcat ((CRecord (k, xcs1), loc), (CRecord (_, xcs2), _)) => CRecord (k, xcs1 @ xcs2)

      | CProj ((CTuple cs, _), n) => #1 (List.nth (cs, n - 1))

      | _ => c

and reduceCon env = U.Con.mapB {kind = kind, con = con, bind = bindC} env

fun exp env e =
    case e of
        ENamed n =>
        (case E.lookupENamed env n of
             (_, _, SOME e', _) => #1 e'
           | _ => e)

      | ECApp ((EApp ((EApp ((ECApp ((EFold ks, _), ran), _), f), _), i), _), (CRecord (k, xcs), loc)) =>
        (case xcs of
             [] => #1 i
           | (n, v) :: rest =>
             #1 (reduceExp env (EApp ((ECApp ((ECApp ((ECApp (f, n), loc), v), loc), (CRecord (k, rest), loc)), loc),
                                      (ECApp ((EApp ((EApp ((ECApp ((EFold ks, loc), ran), loc), f), loc), i), loc),
                                              (CRecord (k, rest), loc)), loc)), loc)))

      | EApp ((EAbs (_, _, _, e1), loc), e2) =>
        #1 (reduceExp env (subExpInExp (0, e2) e1))
      | ECApp ((ECAbs (_, _, e1), loc), c) =>
        #1 (reduceExp env (subConInExp (0, c) e1))

      | EField ((ERecord xes, _), (CName x, _), _) =>
        (case List.find (fn ((CName x', _), _, _) => x' = x
                          | _ => false) xes of
             SOME (_, e, _) => #1 e
           | NONE => e)
      | ECut (r as (_, loc), _, {rest = (CRecord (k, xts), _), ...}) =>
        let
            fun fields (remaining, passed) =
                case remaining of
                    [] => []
                  | (x, t) :: rest =>
                    (x,
                     (EField (r, x, {field = t,
                                     rest = (CRecord (k, List.revAppend (passed, rest)), loc)}), loc),
                     t) :: fields (rest, (x, t) :: passed)
        in
            #1 (reduceExp env (ERecord (fields (xts, [])), loc))
        end

      | _ => e

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

fun decl env d = d

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

end