a language to describe and simulate multiprocessor computer一种描述和模拟多处理器计算机的语言

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1972

Alanguagetodescribeandsimulatemultiprocessor

computersystems

DonaldEarlElliott

IowaStateUniversity

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ELLIOTT,DonaldEarl,1938-

ALANGUAGETODESCRIBEANDSIMULATEMULTIPROCESSOR

CCMPUTERSYSTEMS.

IowaStateUniversity,Ph.D.,1972

Can5juterScience

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Alanguagetodescribeandsimulate

multiprocessorcomputersystems

by

DonaldEarlElliott

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IowaStateUniversity

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1972

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ii

TABLEOFCONTENTS

Page

CHAPTERI.INTRODUCTION1

CHAPTERII.LITERATUREREVIEW4

CHAPTERIII.PROGRAMMINGSYSTEM8

CHAPTERIV.MULTIPROCESSORDESCRIPTION12

CHAPTERV.SIMULATION36

CHAPTERVI.SINGLEPROCESSOREXAMPLE40

CHAPTERVII.MULTIPLEPROCESSOREXAMPLE47

CHAPTERVIII.LANGUAGEIMPLEMENTATION54

CHAPTERIX.CONCLUSION61

LITERATURECITED64

APPENDIXA:SYNTAXOFLANGUAGE66

APPENDIXB:TRANSLATORROUTINES69

APPENDIXC:SIMULATIONROUTINES109

APPENDIXD:$RUNSOURCE113

APPENDIXE:JOBCONTROL116

APPENDIXF:SINGLETEL_COMPDESCRIPTION120

APPENDIXG:SINGLETEL_COMPSIMULATION124

APPENDIXH:MULTIPLETEL_COMPDESCRIPTION172

APPENDIXI:MULTIPLETELCOMPSIMULATION177

1

CHAPTERI.INTRODUCTION

Currentlythereexistsaneedforalanguagecapableofdescribingthe

structureandbehaviorofmultiprocessorcomputersystems.Thisneedis

illustratedbythedeficiencyofastandardlanguagetodescribethe

constructionandbehaviorofpresentdaysystems.Theimplenientationof

suchalanguagewouldallowthecomputerdesignertosymbolicallydesigna

system,studyitsbehaviorandthenusethissymbolicdesignastheinput

toanautomateddesignsystemtoactuallyconstructthesystem.

Therequirementsplaceduponthislanguagearemanyandvaried.To

insurethattheresultingsymbolicdesigncouldactuallybethefirst

stepinanautomateddesignsystemthelanguagemustreflectthestructure

orthelogicalbuildingblockswithinthesystem.Thisrequirement,in

andofitself,leadstootherrequirements.First,thelanguagemust

accuratelyrepresenttheinterconnectionoftheiteratedlogiccircuits

foundindigitalcomputersystems.Thisrepresentationmustbeconcise

andcompactforeaseofreadabilityandyetreflectthebehaviorofthese

logiccircuits.

Second,thelanguagemustallowthesystemtobepartitionedintothe

variousindividualprocessorswithinthesystem.Thisfeatureallowsthe

designertoadd/deleteprocessorsto/fromthesystemandstudytheeffects

onthebehaviorofthesystemduetothesechanges.

Third,thelanguagemustdescribetheinterconnectionsbetweenthe

variousprocessorswithinthesystem.Thisenablesthedesignerto

accuratelygaugethephysicalnumberofinputandoutputlinesrequired

2

foreachoftheprocessors.Knowingthisnumbermayenablethedesigner

toreconfigurehisproposeddesigntoreducethenuniberoftheseinter­

connections.

Fourth,thelanguagemustprovideaconvenientwayforthedesigner

tospecifyhowandwhenthepossibleactionswithineachoftheprocessors

aretotakeplace.Thisspecificationofthecontrolsignalsshouldnot

havetobeexplicitlystatedbytheuseofcontrolsignalsandshould

allowforawidevarietyofactionstooccurinparallel,serial,ora

combinationofboth.

Fifth,thelanguageshouldprovideaconvenientwaytoindicatehow

theflowofcontrolmaybedependentupontheprioritybetweensignals•

Itshouldalsoexplicitlyshowhowtheflowofcontrolwithinoneprocessor

maybedependentnotonlyuponitsowninternalconditions,butalsoupon

externalconditions.

Inorderfortheresultingsystemtobecapableofbeingeffectively

simulatedotherrequirementsmustbeplaceduponthelanguage.First,

thesimulationshouldbedoneatthehighestlevelconsistentwiththe

requirementsnecessaryforautomatedconstruction.Thislevelisthe

registertransferlevel.Therehasbeenmuchworkinthesimula­

tionofdigitaldesignsatthelogiclevelandusingthestatisticalchar*

acteristicsofproposedsystems,butverylittleworkhasbeendoneto

simulatemultiprocessorsystemsattheregistertransferlevel.

Second,thesimulatorshouldallowthedesignertoinputtestcases

tocheckoutthelogicalconsistancyofthesystemunderconsideration.

3

Otherconsiderationsbesidesthestructureandbehaviorofthe

systemcomeintoplayintheimplementationofthelanguage.Oneofthese

isthatthelanguageshouldbemachinereadableinordertoallowtheuse

oftranslationtechniquesalreadydevelopedforhighlevellanguages.

Alsoitallowsamoresystematicapproachtochangestothelanguageif

theneedarises.

Andfinallythelanguageshouldreflecthowthedesignervisualizes

theflowofcontrolwithincomputersystems.Generalpurposelanguages

tendtoforcetheuser,inthiscasethecomputerdesigner,intothink­

ingnotofhowtosolvehisproblem,butratherintohowtogetthe

generalpurposelanguagetodowhathewantsittodo.

Theworkreportedonheredoesnotattempttosolvetheautomated

constructionofdigitalsystems,butinsteadfocusesitsattentionon

thedevelopmentofalanguagetodescribemultiprocessorcomputersystems

andthesimulationofthosesystemsatahighlevel.Itssignificance

comesnotonlyfromthefactthatthesymboliclanguageiscapableof

describingtheparallelandserialperformanceofeventswithina

multiprocessorsystem,butfromthesimulationofthoseevents.

u

CHAPTERII.LITERATUREREVIEW

GomanandAnderson(12)recognizedthatcomputerscouldaidinthe

designofothercomputers.Theywroteaprogramthatreadinthesystem

structureofregistersandtransferpaths,andcombinedthesewiththe

hardwarecharacteristicsandthedesiredsequencesofregistertransfers

toobtainaneworderedsequencesoflegitimateregistertransfers.From

thesenewsequencestheyformedthenecessaryBooleanequationstobuild

thesystem.Caseetal.(5)describedanautomatedlogicdesignprogramming

systemthatdocumentsthelogicdesignfortheSYSTEM/360andallowedfor

partialsimulationofthatdesign.

Proctor(24)inhissystemLDT(LogicDesignTranslator)developed

logicequationsforastoredprogramdigitalcomputerfrominformation

containedinitssystemdiagramandtheinstructionrepertoireofthe

machine.HealongwithBellandNewell(2,3),Pump1in(25)andZucker(29)

consideredthespecialcaseofastoredprogramcomputerwithitsclassical

“fetch-execute*1cycle.

Falkoffetal.(10)usedAPL(AProgrammingLanguage)byIverson(14,

15)todescribethebehavioroftheSYSTEM/360.UnfortunatelyAPLdoesn't

indicatethephysicalstructureofthesystembecauseitcontainsno

dimensionstatementsandhasoperationswithinitthatexpandandcompress

thedimensionsoftheiroperands.Takingthesediscrepanciesintoaccount,

Friedman(11)usedasubsetofAPLtorepresentthelogicdesignofa

mLcroprogrammedcomputerandgenerateditsassociatedBooleanequations«

5

Schlaepi(26)inhislanguageLOTIS(Logic,Timing,Sequencing)in­

formallypresentedmethodsofdescribingregistertransfers,timingof

thosetransfers,concurrenttransfersandgroupingofthesetransfers.He

alsosuggestedthatsuchalanguagecoulddescribeboththestructureand

behaviorofacomputer.

Schorr(27)describedanalgorithmforconvertingamicroprogram

consistingofstatementswithaconditionalpartandaregistertransfer

partintoinputequationsforR-Sflipflops.

Chu(6)suggestedthatthedesignlanguagehavetheformofahigh

levellanguagesuchasALGOL(19)•Withsuchaform,thetranslation

techniquesdevelopedforhighlevellanguageswouldbeapplicabletothe

translationofthecomputerdesignlanguage.HislanguageCDL(Computer

DesignLanguage)usedconditionallabelsongroupsofregistertransfer

statementsthatweretobedoneinparallel.Iftheconditionallabel

wastruethestatementsweretobeexecuted,otherwisetheywerenot.

Sincehewasdescribingonlyasynchronouscomputer,eachoftheconditional

labelshadareferencetooneoftheclockphases.Thisprovidedacon­

venientwayofdescribingtheflowofcontrolwithinasynchronousmachine.

Pardo(20)demonstratedhowCDLbyChucouldbeusedformicroprogram

designandverificationbywritingamicroprogramforcoderelocationin

CDL.InteractivedesignandsimulationforalanguagesimilartoCDLwas

donebyCrallandTracy(7)•

Symbolicdimensioningofregistersandmemorieswassuggestedby

MetzcandSeshu(18),byusingaFORTRANtypelanguageasthebasisfor

hardwareindependentsystemdescriptionlanguage.

6

Anexperimenta1languagedescribingthesystemascontainingsubsystems

waspresentedbyPamasandDarringer(22)・Eachofthesubsystemswas

describedeitherstructurally,i・e・theirBooleanequations,orbehaviorally,

i-e.asanALGOLprogram(21).

DuleyandDietmeyer(8,9)informallyproposedalanguageforasystem

offiniteautomataeachhavingprivatefacilities(registers,memories,

etc.)andsharingpublicfacilities.Intheirdescriptivelanguageto

specifytheseinterconnectedautonomousunits,theydescribedtheflow

ofcontrolwithineachunitasbeingcomposedofcompatiblesetsof

operationsthatwouldbeexecutedsimultaneouslywhentheunitwasin

thatstate.Theythendescribedhowthesequencingthroughthesevarious

stateswasdonebyastatesequencingregisterthatcouldbechangedbya

statementwithinthelanguage.

Twoinforma1languagesareusedtodescribeacomputersystemby

BellandNewell(2)•Theinterconnectionsbetweenprocessor,memories,

andassociatedswitchesarediagramedalongwiththeirgrosshardware

characteristics.Thisformsthesystemlanguage.Eachindividualpro­

cessoristhendescribedinaregistertransferlanguage.

Stabler(28)usedaregistertransferlanguagetodefinethepossible

microactionsforamicroprogrammedcomputer.Thenheprovidedpossible

transformationsonthemicroprogramswhichkeptthesystem1sbehaviorthe

same.Usingthesetransformationsthemicroprogrammer(i・e・thecomputer

designer)canreducethenumberofstepsinthemicroprogrambyparallel­

ingmutuallyexclusivemicroactions.

Thedescriptionandsimulationforonlystoredprogramcomputerswas

donebyPump1in(25)andZucker(29).Simulationofflipflopsand

7

logicelenientswasdescribedbyMcClure(16)andHays(13)•McKay(17)

suggestedbuildingaspecialpurposecomputertodothissimulation.

Parnas(21)suggestedextendingALGOLtosimulatethef,blackbox"picture

ofasystem.

Potashetal.(23)translatedhisdesigndescriptionintoapseudo

machinelanguagethatwhenexecutedonhispseudomachinewouldsimulate

themachinedescribed.WhereasPumplin(25)translatedthedesignlanguage

intoPL/1statementswhichwhencompiledwouldactasthesimulator.

8

CHAPTERIII.PROGRAMMINGSYSTEM

Theprogrammingsystempresentedhereconsistsoftwoparts•

Thefirstpartisalanguagetosymbolicallydescribetheconstructionof

multiprocessorcomputersystems.Thislanguageisdescribedinformally

inChapteriv.

Thesecondprimarypartisthesimulationofthesymbolicdesign

beingconsidered.Thisalsorequiresalanguagetodescribetheinitial

conditionsoftheprocessorsandwhenthesimulationistobeterminated.

ThislanguageisdescribedinformallyinChapterV.

Theimplementationdetailsofdescribingtheimplementationofthese

translators,thesimulationoftheresultingtargetcodeandtheirre­

strictionsarediscussedinChapterVITI.

Theexamplesofthedescriptionandsimulationofprocessorsare

giveninChapterVIandVII.ChapterVIshowsthedescriptionand

simulationofasingleprocessorwhileChapterVildescribesamulti­

processorsystemanditsassociatedsimulation.

Oneofthedesirablequalitiesinalanguagetodescribethecon­

structionofamultiprocessorsystemisthatthesyntaxofthelanguage

bedescribedformally.Inorderforthistooccur,ametalanguagemust

beadopted.Themetalanguage,orratherthelanguagetodescribeanother

language,usedherewasdevelopedbyBrookerandMorris(4).Itisa

modificationandextensionofthemetalanguageBackus-Naurusedtodes­

cribeALGOL(19).

Thismetalanguagecanbestbeexplainedbyillustratingsomeofthe

basicprimitiveswithinthelanguagecurrentlytobedescribed,i.e.the

9

]anguagetodescribemultiprocessors(MPS).Thefollowingexampleis

usedl<>illustrateasimpledeflnitionusingthismetalanguage:

DIGITrOfIfp|«2«||«4<|IIg.|.7fj«811

Theleftmostitemineachdefinition,inthiscaseDIGIT,indicatesthe

nameofthesyntacticclassthatisbeingdefined*Thecharacters11::=n

foilowingthisnameareusedtoseparatethenameoftheclassbeingde­

finedanditsdefinition.Thesecharacterscanbeliterallyread

asnisdefinedtobe'LCharactersbelongingtothelanguagebeingdefined

areenclosedinquotes(').Ifthecharacterquote(')istobeusedin

thelanguagebeingdefined,thentwoadjacentquotes(1*)mustbeusedto

representthesinglequote.Themetacharacterisusedtoindicate

alternatesandcanliterallybereadasMorn.Thisstatementcannowbe

readasthe°syntacticclassDIGIT""isdefinedtobe"thecharactern0n»

"or"thecharacter11ln,"or"thecharacter"2",etc.

Thenextexampleillustratesanothersymbolusedinthemetalanguage,

thedollarsign($)・Thedollarsignisusedtoindicatezeroormore

occurrencesofthesyntacticclassorgroupfollowingitsuse.Forexample

thefollowingdefinitionofintegerusesthissymbol:

INTEGER::=DIGIT$DIGIT

Inthisexamplethe,,syntacticclassINTEGER11nisdefinedtobe"one

occurranceofthe