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RetrospectiveTliesesandDissertations
1972
Alanguagetodescribeandsimulatemultiprocessor
computersystems
DonaldEarlElliott
IowaStateUniversity
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ELLIOTT,DonaldEarl,1938-
ALANGUAGETODESCRIBEANDSIMULATEMULTIPROCESSOR
CCMPUTERSYSTEMS.
IowaStateUniversity,Ph.D.,1972
Can5juterScience
UniversityMicrofilms,AXEROXCompany,AnnArbor,Michigan
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Alanguagetodescribeandsimulate
multiprocessorcomputersystems
by
DonaldEarlElliott
ADissertationSubmittedtothe
GraduateFacultyinPartialFulfillmentof
TheRequirementsfortheDegreeof
DOCTOROFPHILOSOPHY
Major:ComputerScience
Approved:
Signaturewasredactedforprivacy.
InthargeofMajorWork
Signaturewasredactedforprivacy.
FortheMajorDepartment
Signaturewasredactedforprivacy.
FortheGraduateCollege
IowaStateUniversity
Ames,Iowa
1972
PLEASENOTE:
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indistinctprint.
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UniversityMicrofi1ms,AXeroxEducationCompany
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
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