Mercurial > urweb
view src/core_util.sml @ 213:0343557355fc
Explifying type classes
author | Adam Chlipala <adamc@hcoop.net> |
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date | Sat, 16 Aug 2008 14:45:23 -0400 |
parents | ab86aa858e6c |
children | 766b5475477f |
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(* 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. *) structure CoreUtil :> CORE_UTIL = struct open Core structure S = Search structure Kind = struct open Order fun compare ((k1, _), (k2, _)) = case (k1, k2) of (KType, KType) => EQUAL | (KType, _) => LESS | (_, KType) => GREATER | (KArrow (d1, r1), KArrow (d2, r2)) => join (compare (d1, d2), fn () => compare (r1, r2)) | (KArrow _, _) => LESS | (_, KArrow _) => GREATER | (KName, KName) => EQUAL | (KName, _) => LESS | (_, KName) => GREATER | (KRecord k1, KRecord k2) => compare (k1, k2) | (KRecord _, _) => LESS | (_, KRecord _) => GREATER | (KUnit, KUnit) => EQUAL fun mapfold f = let fun mfk k acc = S.bindP (mfk' k acc, f) and mfk' (kAll as (k, loc)) = case k of KType => S.return2 kAll | KArrow (k1, k2) => S.bind2 (mfk k1, fn k1' => S.map2 (mfk k2, fn k2' => (KArrow (k1', k2'), loc))) | KName => S.return2 kAll | KRecord k => S.map2 (mfk k, fn k' => (KRecord k', loc)) | KUnit => S.return2 kAll in mfk end fun map f k = case mapfold (fn k => fn () => S.Continue (f k, ())) k () of S.Return () => raise Fail "Core_util.Kind.map" | S.Continue (k, ()) => k fun exists f k = case mapfold (fn k => fn () => if f k then S.Return () else S.Continue (k, ())) k () of S.Return _ => true | S.Continue _ => false end structure Con = struct open Order fun compare ((c1, _), (c2, _)) = case (c1, c2) of (TFun (d1, r1), TFun (d2, r2)) => join (compare (d1, d2), fn () => compare (r1, r2)) | (TFun _, _) => LESS | (_, TFun _) => GREATER | (TCFun (x1, k1, r1), TCFun (x2, k2, r2)) => join (String.compare (x1, x2), fn () => join (Kind.compare (k1, k2), fn () => compare (r1, r2))) | (TCFun _, _) => LESS | (_, TCFun _) => GREATER | (TRecord c1, TRecord c2) => compare (c1, c2) | (TRecord _, _) => LESS | (_, TRecord _) => GREATER | (CRel n1, CRel n2) => Int.compare (n1, n2) | (CRel _, _) => LESS | (_, CRel _) => GREATER | (CNamed n1, CNamed n2) => Int.compare (n1, n2) | (CNamed _, _) => LESS | (_, CNamed _) => GREATER | (CFfi (m1, s1), CFfi (m2, s2)) => join (String.compare (m1, m2), fn () => String.compare (s1, s2)) | (CFfi _, _) => LESS | (_, CFfi _) => GREATER | (CApp (f1, x1), CApp (f2, x2)) => join (compare (f1, f2), fn () => compare (x1, x2)) | (CApp _, _) => LESS | (_, CApp _) => GREATER | (CAbs (x1, k1, b1), CAbs (x2, k2, b2)) => join (String.compare (x1, x2), fn () => join (Kind.compare (k1, k2), fn () => compare (b1, b2))) | (CAbs _, _) => LESS | (_, CAbs _) => GREATER | (CName s1, CName s2) => String.compare (s1, s2) | (CName _, _) => LESS | (_, CName _) => GREATER | (CRecord (k1, xvs1), CRecord (k2, xvs2)) => join (Kind.compare (k1, k2), fn () => joinL (fn ((x1, v1), (x2, v2)) => join (compare (x1, x2), fn () => compare (v1, v2))) (xvs1, xvs2)) | (CRecord _, _) => LESS | (_, CRecord _) => GREATER | (CConcat (f1, s1), CConcat (f2, s2)) => join (compare (f1, f2), fn () => compare (s1, s2)) | (CConcat _, _) => LESS | (_, CConcat _) => GREATER | (CFold (d1, r1), CFold (d2, r2)) => join (Kind.compare (d1, r2), fn () => Kind.compare (r1, r2)) | (CFold _, _) => LESS | (_, CFold _) => GREATER | (CUnit, CUnit) => EQUAL datatype binder = Rel of string * kind | Named of string * int * kind * con option fun mapfoldB {kind = fk, con = fc, bind} = let val mfk = Kind.mapfold fk fun mfc ctx c acc = S.bindP (mfc' ctx c acc, fc ctx) and mfc' ctx (cAll as (c, loc)) = case c of TFun (c1, c2) => S.bind2 (mfc ctx c1, fn c1' => S.map2 (mfc ctx c2, fn c2' => (TFun (c1', c2'), loc))) | TCFun (x, k, c) => S.bind2 (mfk k, fn k' => S.map2 (mfc (bind (ctx, Rel (x, k))) c, fn c' => (TCFun (x, k', c'), loc))) | TRecord c => S.map2 (mfc ctx c, fn c' => (TRecord c', loc)) | CRel _ => S.return2 cAll | CNamed _ => S.return2 cAll | CFfi _ => S.return2 cAll | CApp (c1, c2) => S.bind2 (mfc ctx c1, fn c1' => S.map2 (mfc ctx c2, fn c2' => (CApp (c1', c2'), loc))) | CAbs (x, k, c) => S.bind2 (mfk k, fn k' => S.map2 (mfc (bind (ctx, Rel (x, k))) c, fn c' => (CAbs (x, k', c'), loc))) | CName _ => S.return2 cAll | CRecord (k, xcs) => S.bind2 (mfk k, fn k' => S.map2 (ListUtil.mapfold (fn (x, c) => S.bind2 (mfc ctx x, fn x' => S.map2 (mfc ctx c, fn c' => (x', c')))) xcs, fn xcs' => (CRecord (k', xcs'), loc))) | CConcat (c1, c2) => S.bind2 (mfc ctx c1, fn c1' => S.map2 (mfc ctx c2, fn c2' => (CConcat (c1', c2'), loc))) | CFold (k1, k2) => S.bind2 (mfk k1, fn k1' => S.map2 (mfk k2, fn k2' => (CFold (k1', k2'), loc))) | CUnit => S.return2 cAll in mfc end fun mapfold {kind = fk, con = fc} = mapfoldB {kind = fk, con = fn () => fc, bind = fn ((), _) => ()} () fun map {kind, con} c = case mapfold {kind = fn k => fn () => S.Continue (kind k, ()), con = fn c => fn () => S.Continue (con c, ())} c () of S.Return () => raise Fail "Core_util.Con.map" | S.Continue (c, ()) => c fun mapB {kind, con, bind} ctx c = case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()), con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()), bind = bind} ctx c () of S.Continue (c, ()) => c | S.Return _ => raise Fail "CoreUtil.Con.mapB: Impossible" fun fold {kind, con} s c = case mapfold {kind = fn k => fn s => S.Continue (k, kind (k, s)), con = fn c => fn s => S.Continue (c, con (c, s))} c s of S.Continue (_, s) => s | S.Return _ => raise Fail "CoreUtil.Con.fold: Impossible" fun exists {kind, con} k = case mapfold {kind = fn k => fn () => if kind k then S.Return () else S.Continue (k, ()), con = fn c => fn () => if con c then S.Return () else S.Continue (c, ())} k () of S.Return _ => true | S.Continue _ => false fun foldMap {kind, con} s c = case mapfold {kind = fn k => fn s => S.Continue (kind (k, s)), con = fn c => fn s => S.Continue (con (c, s))} c s of S.Continue v => v | S.Return _ => raise Fail "CoreUtil.Con.foldMap: Impossible" end structure Exp = struct datatype binder = RelC of string * kind | NamedC of string * int * kind * con option | RelE of string * con | NamedE of string * int * con * exp option * string fun mapfoldB {kind = fk, con = fc, exp = fe, bind} = let val mfk = Kind.mapfold fk fun bind' (ctx, b) = let val b' = case b of Con.Rel x => RelC x | Con.Named x => NamedC x in bind (ctx, b') end val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'} fun mfe ctx e acc = S.bindP (mfe' ctx e acc, fe ctx) and mfe' ctx (eAll as (e, loc)) = case e of EPrim _ => S.return2 eAll | ERel _ => S.return2 eAll | ENamed _ => S.return2 eAll | ECon (dk, pc, cs, NONE) => S.map2 (ListUtil.mapfold (mfc ctx) cs, fn cs' => (ECon (dk, pc, cs', NONE), loc)) | ECon (dk, n, cs, SOME e) => S.bind2 (mfe ctx e, fn e' => S.map2 (ListUtil.mapfold (mfc ctx) cs, fn cs' => (ECon (dk, n, cs', SOME e'), loc))) | EFfi _ => S.return2 eAll | EFfiApp (m, x, es) => S.map2 (ListUtil.mapfold (mfe ctx) es, fn es' => (EFfiApp (m, x, es'), loc)) | EApp (e1, e2) => S.bind2 (mfe ctx e1, fn e1' => S.map2 (mfe ctx e2, fn e2' => (EApp (e1', e2'), loc))) | EAbs (x, dom, ran, e) => S.bind2 (mfc ctx dom, fn dom' => S.bind2 (mfc ctx ran, fn ran' => S.map2 (mfe (bind (ctx, RelE (x, dom'))) e, fn e' => (EAbs (x, dom', ran', e'), loc)))) | ECApp (e, c) => S.bind2 (mfe ctx e, fn e' => S.map2 (mfc ctx c, fn c' => (ECApp (e', c'), loc))) | ECAbs (x, k, e) => S.bind2 (mfk k, fn k' => S.map2 (mfe (bind (ctx, RelC (x, k))) e, fn e' => (ECAbs (x, k', e'), loc))) | ERecord xes => S.map2 (ListUtil.mapfold (fn (x, e, t) => S.bind2 (mfc ctx x, fn x' => S.bind2 (mfe ctx e, fn e' => S.map2 (mfc ctx t, fn t' => (x', e', t'))))) xes, fn xes' => (ERecord xes', loc)) | EField (e, c, {field, rest}) => S.bind2 (mfe ctx e, fn e' => S.bind2 (mfc ctx c, fn c' => S.bind2 (mfc ctx field, fn field' => S.map2 (mfc ctx rest, fn rest' => (EField (e', c', {field = field', rest = rest'}), loc))))) | ECut (e, c, {field, rest}) => S.bind2 (mfe ctx e, fn e' => S.bind2 (mfc ctx c, fn c' => S.bind2 (mfc ctx field, fn field' => S.map2 (mfc ctx rest, fn rest' => (ECut (e', c', {field = field', rest = rest'}), loc))))) | EFold k => S.map2 (mfk k, fn k' => (EFold k', loc)) | ECase (e, pes, {disc, result}) => S.bind2 (mfe ctx e, fn e' => S.bind2 (ListUtil.mapfold (fn (p, e) => let fun pb ((p, _), ctx) = case p of PWild => ctx | PVar (x, t) => bind (ctx, RelE (x, t)) | PPrim _ => ctx | PCon (_, _, _, NONE) => ctx | PCon (_, _, _, SOME p) => pb (p, ctx) | PRecord xps => foldl (fn ((_, p, _), ctx) => pb (p, ctx)) ctx xps in S.bind2 (mfp ctx p, fn p' => S.map2 (mfe (pb (p', ctx)) e, fn e' => (p', e'))) end) pes, fn pes' => S.bind2 (mfc ctx disc, fn disc' => S.map2 (mfc ctx result, fn result' => (ECase (e', pes', {disc = disc', result = result'}), loc))))) | EWrite e => S.map2 (mfe ctx e, fn e' => (EWrite e', loc)) | EClosure (n, es) => S.map2 (ListUtil.mapfold (mfe ctx) es, fn es' => (EClosure (n, es'), loc)) and mfp ctx (pAll as (p, loc)) = case p of PWild => S.return2 pAll | PVar (x, t) => S.map2 (mfc ctx t, fn t' => (PVar (x, t'), loc)) | PPrim _ => S.return2 pAll | PCon (dk, pc, args, po) => S.bind2 (mfpc ctx pc, fn pc' => S.bind2 (ListUtil.mapfold (mfc ctx) args, fn args' => S.map2 ((case po of NONE => S.return2 NONE | SOME p => S.map2 (mfp ctx p, SOME)), fn po' => (PCon (dk, pc', args', po'), loc)))) | PRecord xps => S.map2 (ListUtil.mapfold (fn (x, p, c) => S.bind2 (mfp ctx p, fn p' => S.map2 (mfc ctx c, fn c' => (x, p', c')))) xps, fn xps' => (PRecord xps', loc)) and mfpc ctx pc = case pc of PConVar _ => S.return2 pc | PConFfi {mod = m, datatyp, params, con, arg, kind} => S.map2 ((case arg of NONE => S.return2 NONE | SOME c => S.map2 (mfc ctx c, SOME)), fn arg' => PConFfi {mod = m, datatyp = datatyp, params = params, con = con, arg = arg', kind = kind}) in mfe end fun mapfold {kind = fk, con = fc, exp = fe} = mapfoldB {kind = fk, con = fn () => fc, exp = fn () => fe, bind = fn ((), _) => ()} () fun mapB {kind, con, exp, bind} ctx e = case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()), con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()), exp = fn ctx => fn e => fn () => S.Continue (exp ctx e, ()), bind = bind} ctx e () of S.Continue (e, ()) => e | S.Return _ => raise Fail "CoreUtil.Exp.mapB: Impossible" fun map {kind, con, exp} e = case mapfold {kind = fn k => fn () => S.Continue (kind k, ()), con = fn c => fn () => S.Continue (con c, ()), exp = fn e => fn () => S.Continue (exp e, ())} e () of S.Return () => raise Fail "Core_util.Exp.map" | S.Continue (e, ()) => e fun fold {kind, con, exp} s e = case mapfold {kind = fn k => fn s => S.Continue (k, kind (k, s)), con = fn c => fn s => S.Continue (c, con (c, s)), exp = fn e => fn s => S.Continue (e, exp (e, s))} e s of S.Continue (_, s) => s | S.Return _ => raise Fail "CoreUtil.Exp.fold: Impossible" fun exists {kind, con, exp} k = case mapfold {kind = fn k => fn () => if kind k then S.Return () else S.Continue (k, ()), con = fn c => fn () => if con c then S.Return () else S.Continue (c, ()), exp = fn e => fn () => if exp e then S.Return () else S.Continue (e, ())} k () of S.Return _ => true | S.Continue _ => false end structure Decl = struct datatype binder = datatype Exp.binder fun mapfoldB {kind = fk, con = fc, exp = fe, decl = fd, bind} = let val mfk = Kind.mapfold fk fun bind' (ctx, b) = let val b' = case b of Con.Rel x => RelC x | Con.Named x => NamedC x in bind (ctx, b') end val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'} val mfe = Exp.mapfoldB {kind = fk, con = fc, exp = fe, bind = bind} fun mfd ctx d acc = S.bindP (mfd' ctx d acc, fd ctx) and mfd' ctx (dAll as (d, loc)) = case d of DCon (x, n, k, c) => S.bind2 (mfk k, fn k' => S.map2 (mfc ctx c, fn c' => (DCon (x, n, k', c'), loc))) | DDatatype (x, n, xs, xncs) => let val k = (KType, loc) val k' = foldl (fn (_, k') => (KArrow (k, k'), loc)) k xs val ctx' = bind (ctx, NamedC (x, n, k', NONE)) in S.map2 (ListUtil.mapfold (fn (x, n, c) => case c of NONE => S.return2 (x, n, c) | SOME c => S.map2 (mfc ctx' c, fn c' => (x, n, SOME c'))) xncs, fn xncs' => (DDatatype (x, n, xs, xncs'), loc)) end | DVal vi => S.map2 (mfvi ctx vi, fn vi' => (DVal vi', loc)) | DValRec vis => let val ctx = foldl (fn ((x, n, t, e, s), ctx) => bind (ctx, NamedE (x, n, t, NONE, s))) ctx vis in S.map2 (ListUtil.mapfold (mfvi ctx) vis, fn vis' => (DValRec vis', loc)) end | DExport _ => S.return2 dAll and mfvi ctx (x, n, t, e, s) = S.bind2 (mfc ctx t, fn t' => S.map2 (mfe ctx e, fn e' => (x, n, t', e', s))) in mfd end fun mapfold {kind = fk, con = fc, exp = fe, decl = fd} = mapfoldB {kind = fk, con = fn () => fc, exp = fn () => fe, decl = fn () => fd, bind = fn ((), _) => ()} () fun fold {kind, con, exp, decl} s d = case mapfold {kind = fn k => fn s => S.Continue (k, kind (k, s)), con = fn c => fn s => S.Continue (c, con (c, s)), exp = fn e => fn s => S.Continue (e, exp (e, s)), decl = fn d => fn s => S.Continue (d, decl (d, s))} d s of S.Continue (_, s) => s | S.Return _ => raise Fail "CoreUtil.Decl.fold: Impossible" fun foldMap {kind, con, exp, decl} s d = case mapfold {kind = fn k => fn s => S.Continue (kind (k, s)), con = fn c => fn s => S.Continue (con (c, s)), exp = fn e => fn s => S.Continue (exp (e, s)), decl = fn d => fn s => S.Continue (decl (d, s))} d s of S.Continue v => v | S.Return _ => raise Fail "CoreUtil.Decl.foldMap: Impossible" end structure File = struct datatype binder = datatype Exp.binder fun mapfoldB (all as {bind, ...}) = let val mfd = Decl.mapfoldB all fun mff ctx ds = case ds of nil => S.return2 nil | d :: ds' => S.bind2 (mfd ctx d, fn d' => let val ctx' = case #1 d' of DCon (x, n, k, c) => bind (ctx, NamedC (x, n, k, SOME c)) | DDatatype (x, n, xs, xncs) => let val loc = #2 d' val k = (KType, loc) val k' = foldl (fn (_, k') => (KArrow (k, k'), loc)) k xs val ctx = bind (ctx, NamedC (x, n, k', NONE)) val t = (CNamed n, #2 d') val t = ListUtil.foldli (fn (i, _, t) => (CApp (t, (CRel i, loc)), loc)) t xs in foldl (fn ((x, n, to), ctx) => let val t = case to of NONE => t | SOME t' => (TFun (t', t), #2 d') val t = foldr (fn (x, t) => (TCFun (x, k, t), loc)) t xs in bind (ctx, NamedE (x, n, t, NONE, "")) end) ctx xncs end | DVal (x, n, t, e, s) => bind (ctx, NamedE (x, n, t, SOME e, s)) | DValRec vis => foldl (fn ((x, n, t, e, s), ctx) => bind (ctx, NamedE (x, n, t, NONE, s))) ctx vis | DExport _ => ctx in S.map2 (mff ctx' ds', fn ds' => d' :: ds') end) in mff end fun mapfold {kind = fk, con = fc, exp = fe, decl = fd} = mapfoldB {kind = fk, con = fn () => fc, exp = fn () => fe, decl = fn () => fd, bind = fn ((), _) => ()} () fun mapB {kind, con, exp, decl, bind} ctx ds = case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()), con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()), exp = fn ctx => fn e => fn () => S.Continue (exp ctx e, ()), decl = fn ctx => fn d => fn () => S.Continue (decl ctx d, ()), bind = bind} ctx ds () of S.Continue (ds, ()) => ds | S.Return _ => raise Fail "CoreUtil.File.mapB: Impossible" fun fold {kind, con, exp, decl} s d = case mapfold {kind = fn k => fn s => S.Continue (k, kind (k, s)), con = fn c => fn s => S.Continue (c, con (c, s)), exp = fn e => fn s => S.Continue (e, exp (e, s)), decl = fn d => fn s => S.Continue (d, decl (d, s))} d s of S.Continue (_, s) => s | S.Return _ => raise Fail "CoreUtil.File.fold: Impossible" fun foldMap {kind, con, exp, decl} s d = case mapfold {kind = fn k => fn s => S.Continue (kind (k, s)), con = fn c => fn s => S.Continue (con (c, s)), exp = fn e => fn s => S.Continue (exp (e, s)), decl = fn d => fn s => S.Continue (decl (d, s))} d s of S.Continue v => v | S.Return _ => raise Fail "CoreUtil.File.foldMap: Impossible" val maxName = foldl (fn ((d, _) : decl, count) => case d of DCon (_, n, _, _) => Int.max (n, count) | DDatatype (_, n, _, _) => Int.max (n, count) | DVal (_, n, _, _, _) => Int.max (n, count) | DValRec vis => foldl (fn ((_, n, _, _, _), count) => Int.max (n, count)) count vis | DExport _ => count) 0 end end