-- file TypePack.mesa -- last modified by Satterthwaite, 28-Apr-82 9:15:47 DIRECTORY Strings: TYPE USING [SubStringDescriptor, EqualSubStrings], SymbolTable: TYPE USING [Base], Symbols: TYPE USING [ HTIndex, SEIndex, ISEIndex, CSEIndex, RecordSEIndex, CTXIndex, MDIndex, HTNull, MDNull, OwnMdi, SENull, StandardContext, typeANY, typeTYPE], Types: TYPE USING [Handle]; TypePack: PROGRAM IMPORTS Strings EXPORTS Types = { OPEN Symbols; -- internal utilities HTHandle: TYPE = RECORD [ stb: SymbolTable.Base, hti: HTIndex]; EqualIds: PROC [id1, id2: HTHandle] RETURNS [BOOLEAN] = { OPEN b1: id1.stb, b2: id2.stb; ss1, ss2: Strings.SubStringDescriptor; IF id1 = id2 THEN RETURN [TRUE]; b1.SubStringForHash[@ss1, id1.hti]; b2.SubStringForHash[@ss2, id2.hti]; RETURN [Strings.EqualSubStrings[@ss1, @ss2]]}; CTXHandle: TYPE = RECORD [ stb: SymbolTable.Base, ctx: CTXIndex]; EqContexts: PROC [context1, context2: CTXHandle] RETURNS [BOOLEAN] = { OPEN b1: context1.stb, b2: context2.stb; ctx1, ctx2: CTXIndex; mdi1, mdi2: MDIndex; IF context1 = context2 THEN RETURN [TRUE]; IF context1.ctx IN StandardContext THEN RETURN [context1.ctx = context2.ctx]; -- predefined types WITH c1: b1.ctxb[context1.ctx] SELECT FROM simple => {mdi1 ← OwnMdi; ctx1 ← context1.ctx}; included => {mdi1 ← c1.module; ctx1 ← c1.map}; ENDCASE => ERROR; WITH c2: b2.ctxb[context2.ctx] SELECT FROM simple => {mdi2 ← OwnMdi; ctx2 ← context2.ctx}; included => {mdi2 ← c2.module; ctx2 ← c2.map}; ENDCASE => ERROR; RETURN [ctx1 = ctx2 AND b1.mdb[mdi1].stamp = b2.mdb[mdi2].stamp]}; OpaqueValue: PROC [type: Types.Handle, base: SymbolTable.Base] RETURNS [val: Types.Handle] = { OPEN b1: type.stb; val ← type; -- the default WITH t1: b1.seb[type.sei] SELECT FROM opaque => { mdi1: MDIndex = WITH c1: b1.ctxb[b1.seb[t1.id].idCtx] SELECT FROM included => c1.module, imported => b1.ctxb[c1.includeLink].module, ENDCASE => OwnMdi; mdi2: MDIndex = base.FindMdi[b1.mdb[mdi1].stamp]; IF mdi2 # MDNull AND base.mdb[mdi2].exported THEN { ss: Strings.SubStringDescriptor; sei2: ISEIndex; b1.SubStringForHash[@ss, b1.seb[t1.id].hash]; sei2 ← base.SearchContext[base.FindString[@ss], base.mainCtx]; IF sei2 # SENull AND base.seb[sei2].idType = typeTYPE AND base.seb[sei2].public THEN val ← [base, base.UnderType[sei2]]}}; ENDCASE; RETURN}; -- type relations Equivalent: PUBLIC PROC [type1, type2: Types.Handle] RETURNS [BOOLEAN] = { RETURN [type1 = type2 OR EqualTypes[type1, type2 ! Resolved => {RESUME [FALSE]}; Matched => {RESUME [FALSE]}] ]}; Matched: SIGNAL [m1, m2: Types.Handle] RETURNS [BOOLEAN] = CODE; EqualTypes: PROC [type1, type2: Types.Handle] RETURNS [BOOLEAN] = { OPEN b1: type1.stb, b2: type2.stb; IF type1 = type2 OR type1.sei = typeANY OR type2.sei = typeANY THEN RETURN [TRUE]; IF (b1.seb[type1.sei].typeTag = opaque) # (b2.seb[type2.sei].typeTag = opaque) THEN {type1 ← OpaqueValue[type1, type2.stb]; type2 ← OpaqueValue[type2, type1.stb]}; RETURN [WITH t1: b1.seb[type1.sei] SELECT FROM basic => WITH t2: b2.seb[type2.sei] SELECT FROM basic => t1.code = t2.code, ENDCASE => FALSE, enumerated => WITH t2: b2.seb[type2.sei] SELECT FROM enumerated => IF ~t1.unpainted THEN ~t2.unpainted AND EqContexts[[type1.stb, t1.valueCtx], [type2.stb, t2.valueCtx]] ELSE t2.unpainted AND MatchConstants[[type1.stb, t1.valueCtx], [type2.stb, t2.valueCtx]], ENDCASE => FALSE, record => WITH t2: b2.seb[type2.sei] SELECT FROM record => IF t1.painted THEN t2.painted AND EqContexts[[type1.stb, t1.fieldCtx], [type2.stb, t2.fieldCtx]] ELSE ~t2.painted AND t1.argument = t2.argument AND ( (SIGNAL Matched[type1, type2]) OR MatchFields[ [type1.stb, LOOPHOLE[type1.sei]], [type2.stb, LOOPHOLE[type2.sei]] ! Matched => {IF m1 = type1 AND m2 = type2 THEN RESUME [TRUE]}]), ENDCASE => FALSE, ref => WITH t2: b2.seb[type2.sei] SELECT FROM ref => (t1.counted = t2.counted) AND (t1.var = t2.var) AND (t1.readOnly = t2.readOnly) AND (t1.ordered = t2.ordered) AND Equal[[type1.stb, t1.refType], [type2.stb, t2.refType]], ENDCASE => FALSE, array => WITH t2: b2.seb[type2.sei] SELECT FROM array => t1.packed = t2.packed AND Equal[[type1.stb, t1.componentType], [type2.stb, t2.componentType]] AND Equal[[type1.stb, t1.indexType], [type2.stb, t2.indexType]], ENDCASE => FALSE, arraydesc => WITH t2: b2.seb[type2.sei] SELECT FROM arraydesc => t1.readOnly = t2.readOnly AND Equal[[type1.stb, t1.describedType], [type2.stb, t2.describedType]], ENDCASE => FALSE, transfer => WITH t2: b2.seb[type2.sei] SELECT FROM transfer => (t1.mode = t2.mode) AND (t1.safe = t2.safe) AND EqualTypes[[type2.stb, t2.typeIn], [type1.stb, t1.typeIn]] AND EqualTypes[[type1.stb, t1.typeOut], [type2.stb, t2.typeOut]], ENDCASE => FALSE, union => WITH t2: b2.seb[type2.sei] SELECT FROM union => EqContexts[[type1.stb, t1.caseCtx], [type2.stb, t2.caseCtx]], ENDCASE => FALSE, sequence => WITH t2: b2.seb[type2.sei] SELECT FROM sequence => t1.packed = t2.packed AND t1.controlled = t2.controlled AND Equal[[type1.stb, t1.componentType], [type2.stb, t2.componentType]] AND MatchTags[[type1.stb, t1.tagSei], [type2.stb, t2.tagSei]], ENDCASE => FALSE, relative => WITH t2: b2.seb[type2.sei] SELECT FROM relative => Equal[[type1.stb, t1.baseType], [type2.stb, t2.baseType]] AND Equal[[type1.stb, t1.offsetType], [type2.stb, t2.offsetType]], ENDCASE => FALSE, opaque => WITH t2: b2.seb[type2.sei] SELECT FROM opaque => EqContexts[[type1.stb, b1.seb[t1.id].idCtx], [type2.stb, b2.seb[t2.id].idCtx]] AND EqualIds[[type1.stb, b1.seb[t1.id].hash], [type2.stb, b2.seb[t2.id].hash]], ENDCASE => FALSE, zone => WITH t2: b2.seb[type2.sei] SELECT FROM zone => (t1.mds = t2.mds AND t1.counted = t2.counted), ENDCASE => FALSE, subrange => WITH t2: b2.seb[type2.sei] SELECT FROM subrange => Equal[[type1.stb, t1.rangeType], [type2.stb, t2.rangeType]] AND (~t1.filled OR ~t2.filled OR (t1.origin = t2.origin AND t1.empty = t2.empty AND (t1.empty OR t1.range = t2.range))), ENDCASE => FALSE, long => WITH t2: b2.seb[type2.sei] SELECT FROM long => Equal[[type1.stb, t1.rangeType], [type2.stb, t2.rangeType]], ENDCASE => FALSE, real => WITH t2: b2.seb[type2.sei] SELECT FROM real => TRUE, ENDCASE => FALSE, any => WITH t2: b2.seb[type2.sei] SELECT FROM any => TRUE, ENDCASE => FALSE, nil => type1.sei = type2.sei, ENDCASE => FALSE]}; SEHandle: TYPE = RECORD [ stb: SymbolTable.Base, sei: SEIndex]; Resolved: SIGNAL [se1, se2: SEHandle] RETURNS [BOOLEAN] = CODE; Equal: PROC [type1, type2: SEHandle] RETURNS [BOOLEAN] = { OPEN b1: type1.stb, b2: type2.stb; RETURN [ type1 = type2 OR (IF b1.seb[type1.sei].seTag = id AND b2.seb[type2.sei].seTag = id THEN ((SIGNAL Resolved[type1, type2]) OR EqualTypes[ [type1.stb, b1.UnderType[type1.sei]], [type2.stb, b2.UnderType[type2.sei]] ! Resolved => {IF se1 = type1 AND se2 = type2 THEN RESUME [TRUE]}]) ELSE EqualTypes[ [type1.stb, b1.UnderType[type1.sei]], [type2.stb, b2.UnderType[type2.sei]]]) ]}; Assignable: PUBLIC PROC [typeL, typeR: Types.Handle] RETURNS [BOOLEAN] = { OPEN bL: typeL.stb, bR: typeR.stb; ENABLE {Resolved => {RESUME [FALSE]}; Matched => {RESUME [FALSE]}}; IF typeL = typeR OR typeL.sei = typeANY OR typeR.sei = typeANY THEN RETURN [TRUE]; RETURN [ FreeAssignable[typeL, typeR, val] OR (SELECT typeL.stb.TypeForm[typeL.sei] FROM record, opaque => ConformingVariant[typeL, typeR] ENDCASE => FreeAssignable[FullRangeType[typeL], FullRangeType[typeR], val])]}; Mode: TYPE = {val, ref}; FreeAssignable: PROC [typeL, typeR: Types.Handle, mode: Mode] RETURNS [BOOLEAN] = { OPEN bL: typeL.stb, bR: typeR.stb; IF typeL = typeR OR typeL.sei = typeANY OR typeR.sei = typeANY THEN RETURN [TRUE]; IF (bL.seb[typeL.sei].typeTag = opaque) # (bR.seb[typeR.sei].typeTag = opaque) THEN { typeL ← OpaqueValue[typeL, typeR.stb]; typeR ← OpaqueValue[typeR, typeL.stb]}; RETURN [WITH tR: bR.seb[typeR.sei] SELECT FROM record => WITH tL: bL.seb[typeL.sei] SELECT FROM record => IF (tL.painted OR tR.painted) THEN Equivalent[typeL, typeR] ELSE tL.argument = tR.argument AND ( (SIGNAL Matched[typeL, typeR]) OR CheckFields[ [typeL.stb, LOOPHOLE[typeL.sei]], [typeR.stb, LOOPHOLE[typeR.sei]], mode ! Matched => {IF m1 = typeL AND m2 = typeR THEN RESUME [TRUE]}]), ENDCASE => FALSE, ref => WITH tL: bL.seb[typeL.sei] SELECT FROM ref => (tL.counted = tR.counted) AND (tL.var = tR.var) AND (~tL.ordered OR tR.ordered) AND (~tR.readOnly OR tL.readOnly) AND (SELECT bL.TypeForm[tL.refType] FROM record, opaque => ConformingVariant[ -- assumes immutability [typeL.stb, bL.UnderType[tL.refType]], [typeR.stb, bR.UnderType[tR.refType]]] OR (tL.readOnly AND Conformable[[typeL.stb, tL.refType], [typeR.stb, tR.refType], ref]), any => TRUE, ENDCASE => IF ~tL.readOnly THEN Equivalent[ [typeL.stb, bL.UnderType[tL.refType]], [typeR.stb, bR.UnderType[tR.refType]]] ELSE Conformable[[typeL.stb, tL.refType], [typeR.stb, tR.refType], ref]) ENDCASE => FALSE, array => WITH tL: bL.seb[typeL.sei] SELECT FROM array => tL.packed = tR.packed AND Equivalent[ [typeL.stb, bL.UnderType[tL.indexType]], [typeR.stb, bR.UnderType[tR.indexType]]] AND ( IF tL.packed THEN Equivalent[ [typeL.stb, bL.UnderType[tL.componentType]], [typeR.stb, bR.UnderType[tR.componentType]]] ELSE Conformable[ [typeL.stb, tL.componentType], [typeR.stb, tR.componentType], mode]) ENDCASE => FALSE, arraydesc => WITH tL: bL.seb[typeL.sei] SELECT FROM arraydesc => (tL.readOnly OR ~tR.readOnly) AND Covering[ [typeL.stb, bL.UnderType[tL.describedType]], [typeR.stb, bR.UnderType[tR.describedType]]], ENDCASE => FALSE, transfer => WITH tL: bL.seb[typeL.sei] SELECT FROM transfer => (tL.mode = tR.mode OR (tL.mode = error AND tR.mode = signal)) AND (~tL.safe OR tR.safe) AND (FreeAssignable[[typeR.stb, tR.typeIn], [typeL.stb, tL.typeIn], mode] OR bL.TypeForm[tL.typeIn] = any) AND (FreeAssignable[[typeL.stb, tL.typeOut], [typeR.stb, tR.typeOut], mode] OR bL.TypeForm[tL.typeOut] = any), ENDCASE => FALSE, relative => WITH tL: bL.seb[typeL.sei] SELECT FROM relative => Equivalent[ [typeL.stb, bL.UnderType[tL.baseType]], [typeR.stb, bR.UnderType[tR.baseType]]] AND FreeAssignable[ FullRangeType[[typeL.stb, bL.UnderType[tL.offsetType]]], FullRangeType[[typeR.stb, bR.UnderType[tR.offsetType]]], mode], ENDCASE => FALSE, subrange => FreeAssignable[FullRangeType[typeL], FullRangeType[typeR], mode] AND (WITH tL: bL.seb[typeL.sei] SELECT FROM subrange => ~tL.filled OR ~tR.filled OR (tL.origin = tR.origin AND (tR.empty OR (~tL.empty AND tL.range >= tR.range))), ENDCASE => (~tR.filled OR tR.origin = 0)), long => WITH tL: bL.seb[typeL.sei] SELECT FROM long => FreeAssignable[ FullRangeType[[typeL.stb, bL.UnderType[tL.rangeType]]], FullRangeType[[typeR.stb, bR.UnderType[tR.rangeType]]], mode], real => bR.UnderType[tR.rangeType] = typeANY, ENDCASE => FALSE, real => WITH tL: bL.seb[typeL.sei] SELECT FROM real => TRUE, long => bL.UnderType[tL.rangeType] = typeANY, ENDCASE => FALSE, ENDCASE => Equivalent[typeL, typeR]]}; Conformable: PROC [type1, type2: SEHandle, mode: Mode] RETURNS [BOOLEAN] = { OPEN b1: type1.stb, b2: type2.stb; RETURN [ type1 = type2 OR (IF b1.seb[type1.sei].seTag = id AND b2.seb[type2.sei].seTag = id THEN ((SIGNAL Resolved[type1, type2]) OR FreeAssignable[ [type1.stb, b1.UnderType[type1.sei]], [type2.stb, b2.UnderType[type2.sei]], mode ! Resolved => {IF se1 = type1 AND se2 = type2 THEN RESUME [TRUE]}]) ELSE FreeAssignable[ [type1.stb, b1.UnderType[type1.sei]], [type2.stb, b2.UnderType[type2.sei]], mode]) ]}; ConformingVariant: PROC [typeL, typeR: Types.Handle] RETURNS [BOOLEAN] = { OPEN bL: typeL.stb, bR: typeR.stb; RETURN [ Equivalent[typeL, typeR] OR (WITH tR: bR.seb[typeR.sei] SELECT FROM record => WITH tV: tR SELECT FROM linked => ConformingVariant[typeL, [typeR.stb, bR.UnderType[tV.linkType]]], ENDCASE => FALSE, ENDCASE => FALSE)]}; -- auxiliary predicates RecordHandle: TYPE = RECORD [ stb: SymbolTable.Base, sei: RecordSEIndex]; MatchFields: PROC [rec1, rec2: RecordHandle] RETURNS [BOOLEAN] = { OPEN b1: rec1.stb, b2: rec2.stb; sei1, sei2: ISEIndex; IF rec1.sei = SENull OR rec2.sei = SENull THEN RETURN [rec1.sei = rec2.sei]; IF EqContexts[[rec1.stb, b1.seb[rec1.sei].fieldCtx], [rec2.stb, b2.seb[rec2.sei].fieldCtx]] THEN RETURN [TRUE]; sei1 ← b1.FirstCtxSe[b1.seb[rec1.sei].fieldCtx]; sei2 ← b2.FirstCtxSe[b2.seb[rec2.sei].fieldCtx]; UNTIL sei1 = SENull OR sei2 = SENull DO IF ~(Equal[[rec1.stb, b1.seb[sei1].idType], [rec2.stb, b2.seb[sei2].idType]] AND EqualIds[[rec1.stb, b1.seb[sei1].hash], [rec2.stb, b2.seb[sei2].hash]]) THEN RETURN [FALSE]; sei1 ← b1.NextSe[sei1]; sei2 ← b2.NextSe[sei2]; ENDLOOP; RETURN [sei1 = sei2]}; CheckFields: PROC [rec1, rec2: RecordHandle, mode: Mode] RETURNS [BOOLEAN] = { OPEN b1: rec1.stb, b2: rec2.stb; sei1, sei2: ISEIndex; checkIds: BOOLEAN; IF rec1.sei = SENull OR rec2.sei = SENull THEN RETURN [rec1.sei = rec2.sei]; IF EqContexts[[rec1.stb, b1.seb[rec1.sei].fieldCtx], [rec2.stb, b2.seb[rec2.sei].fieldCtx]] THEN RETURN [TRUE]; checkIds ← ~(b1.seb[rec1.sei].hints.unifield OR b2.seb[rec2.sei].hints.unifield); sei1 ← b1.FirstCtxSe[b1.seb[rec1.sei].fieldCtx]; sei2 ← b2.FirstCtxSe[b2.seb[rec2.sei].fieldCtx]; UNTIL sei1 = SENull OR sei2 = SENull DO IF ~Conformable[[rec1.stb, b1.seb[sei1].idType], [rec2.stb, b2.seb[sei2].idType], mode] OR (checkIds AND b1.seb[sei1].hash # HTNull AND b2.seb[sei2].hash # HTNull AND ~EqualIds[[rec1.stb, b1.seb[sei1].hash], [rec2.stb, b2.seb[sei2].hash]]) THEN RETURN [FALSE]; sei1 ← b1.NextSe[sei1]; sei2 ← b2.NextSe[sei2]; ENDLOOP; RETURN [sei1 = sei2]}; MatchConstants: PROC [context1, context2: CTXHandle] RETURNS [BOOLEAN] = { OPEN b1: context1.stb, b2: context2.stb; sei1, sei2: ISEIndex; IF EqContexts[context1, context2] THEN RETURN [TRUE]; sei1 ← b1.FirstCtxSe[context1.ctx]; sei2 ← b2.FirstCtxSe[context2.ctx]; UNTIL sei1 = SENull OR sei2 = SENull DO IF ~EqualIds[[context1.stb, b1.seb[sei1].hash], [context2.stb, b2.seb[sei2].hash]] THEN RETURN [FALSE]; sei1 ← b1.NextSe[sei1]; sei2 ← b2.NextSe[sei2]; ENDLOOP; RETURN [sei1 = sei2]}; ISEHandle: TYPE = RECORD [ stb: SymbolTable.Base, sei: ISEIndex]; MatchTags: PROC [tag1, tag2: ISEHandle] RETURNS [BOOLEAN] = { OPEN b1: tag1.stb, b2: tag2.stb; RETURN [ EqualIds[[tag1.stb, b1.seb[tag1.sei].hash], [tag2.stb, b2.seb[tag2.sei].hash]] AND Equal[[tag1.stb, b1.seb[tag1.sei].idType], [tag2.stb, b2.seb[tag2.sei].idType]]]}; Covering: PROC [typeL, typeR: Types.Handle] RETURNS [BOOLEAN] = { OPEN bL: typeL.stb, bR: typeR.stb; IF typeL = typeR THEN RETURN [TRUE]; RETURN [WITH tL: bL.seb[typeL.sei] SELECT FROM array => WITH tR: bR.seb[typeR.sei] SELECT FROM array => tL.packed = tR.packed AND Equivalent[ [typeL.stb, bL.UnderType[tL.componentType]], [typeR.stb, bR.UnderType[tR.componentType]]] AND Conformable[[typeL.stb, tL.indexType], [typeR.stb, tR.indexType], val], ENDCASE => FALSE, ENDCASE => Equivalent[typeL, typeR]]}; FullRangeType: PROC [type: Types.Handle] RETURNS [Types.Handle] = { OPEN b: type.stb; sei, next: CSEIndex; FOR sei ← type.sei, next DO WITH b.seb[sei] SELECT FROM subrange => next ← b.UnderType[rangeType]; ENDCASE => EXIT; ENDLOOP; RETURN [[type.stb, sei]]}; }.