编译原理龙书答案完整性高第二章2.2ExercisesforSection2.22.2.1Considerthecontext-freegrammar:S->SS+|SS*|aShowhowthestringaa+a*canbegeneratedbythisgrammar.Constructaparsetreeforthisstring.Whatlanguagedoesthisgrammargenerate?Justifyyouranswer.answerS->SS*->SS+S*->aS+S*->aa+S*->aa+a*L={Postfixexpressionconsistingofdigits,plusandmultiplesigns}2.2.2Whatlanguageisgeneratedbythefollowinggrammars?Ineachcasejustifyyouranswer.S->0S1|01S->+SS|-SS|aS->S(S)S|εS->aSbS|bSaS|ε⧗S->a|S+S|SS|S*|(S)answerL={0n1n|n>=1}L={Prefixexpressionconsistingofplusandminussigns}L={Matchedbracketsofarbitraryarrangementandnesting,includesε}L={Stringhasthesameamountofaandb,includesε}?2.2.3WhichofthegrammarsinExercise2.2.2areambiguousanswerNoNoYesYesYes2.2.4Constructunambiguouscontext-freegrammarsforeachofthefollowinglanguages.Ineachcaseshowthatyourgrammariscorrect.Arithmeticexpressionsinpostfixnotation.Left-associativelistsofidentifiersseparatedbycommas.Right-associativelistsofidentifiersseparatedbycommas.Arithmeticexpressionsofintegersandidentifierswiththefourbinaryoperators+,-,*,/.answer1.E->EEop|num2.list->list,id|id3.list->id,list|id4.expr->expr+term|expr-term|termterm->term*factor|term/factor|factorfactor->id|num|(expr)5.expr->expr+term|expr-term|termterm->term*unary|term/unary|unaryunary->+factor|-factorfactor->id|num|(expr)2.2.5Showthatallbinarystringsgeneratedbythefollowinggrammarhavevaluesdivisibleby3.Hint.Useinductiononthenumberofnodesinaparsetree.num->11|1001|num0|numnumDoesthegrammargenerateallbinarystringswithvaluesdivisibleby3?answerproveanystringderivedfromthegrammarcanbeconsideredtobeasequenceconsistingof11,1001and0,andnotprefixedwith0.thesumofthisstringis:sum=Σn(21+20)*2n+Σm(23+20)*2m=Σn3*2n+Σm9*2mItisobviouslycandivisibleby3.No.Considerstring"10101",itisdivisibleby3,butcannotderivedfromthegrammar.Question:anygeneralprove?2.2.6Constructacontext-freegrammarforromannumerals.Note:wejustconsiderasubsetofromannumeralswhichislessthan4k.answerwikipedia:Roman_numeralsviawikipedia,wecancategorizethesinglenomannumeralsinto4groups:I,II,III|IV|V,VI,VII,VIII|IXthengettheproduction:digit->smallDigit|IV|VsmallDigit|IXsmallDigit->I|II|III|εandwecanfindasimplewaytomapromantoarabicnumerals.Forexample:XII=>X,II=>10+2=>12CXCIX=>C,XC,IX=>100+90+9=>199MDCCCLXXX=>M,DCCC,LXXX=>1000+800+80=>1880viatheuppertworules,wecanderivetheproduction:romanNum->thousandhundredtendigitthousand->M|MM|MMM|εhundred->smallHundred|CD|DsmallHundred|CMsmallHundred->C|CC|CCC|εten->smallTen|XL|LsmallTen|XCsmallTen->X|XX|XXX|εdigit->smallDigit|IV|VsmallDigit|IXsmallDigit->I|II|III|ε2.3ExercisesforSection2.32.3.1Constructasyntax-directedtranslationschemethattrans­latesarithmeticexpressionsfrominfixnotationintoprefixnotationinwhichanoperatorappearsbeforeitsoperands;e.g.,-xyistheprefixnotationforx-y.Giveannotatedparsetreesfortheinputs9-5+2and9-5*2.。
answerproductions:expr->expr+term|expr-term|termterm->term*factor|term/factor|factorfactor->digit|(expr)translationschemes:expr->{print("+")}expr+term|{print("-")}expr-term|termterm->{print("*")}term*factor|{print("/")}term/factor|factorfactor->digit{print(digit)}|(expr)2.3.2Constructasyntax-directedtranslationschemethattrans­latesarithmeticexpressionsfrompostfixnotationintoinfixnotation.Giveannotatedparsetreesfortheinputs95-2*and952*-.answerproductions:expr->exprexpr+|exprexpr-|exprexpr*|exprexpr/|digittranslationschemes:expr->expr{print("+")}expr+|expr{print("-")}expr-|{print("(")}expr{print(")*(")}expr{print(")")}*|{print("(")}expr{print(")/(")}expr{print(")")}/|digit{print(digit)}AnotherreferenceanswerE->{print("(")}E{print(op)}E{print(")"}}op|digit{print(digit)}2.3.3Constructasyntax-directedtranslationschemethattrans­latesintegersintoromannumeralsanswerassistantfunction:repeat(sign,times)//repeat('a',2)='aa'translationschemes:num->thousandhundredtendigit{num.roman=thousand.roman||hundred.roman||ten.roman||digit.roman;print(num.roman)}thousand->low{thousand.roman=repeat('M',low.v)}hundred->low{hundred.roman=repeat('C',low.v)}|4{hundred.roman='CD'}|high{hundred.roman='D'||repeat('X',high.v-5)}|9{hundred.roman='CM'}ten->low{ten.roman=repeat('X',low.v)}|4{ten.roman='XL'}|high{ten.roman='L'||repeat('X',high.v-5)}|9{ten.roman='XC'}digit->low{digit.roman=repeat('I',low.v)}|4{digit.roman='IV'}|high{digit.roman='V'||repeat('I',high.v-5)}|9{digit.roman='IX'}low->0{low.v=0}|1{low.v=1}|2{low.v=2}|3{low.v=3}high->5{high.v=5}|6{high.v=6}|7{high.v=7}|8{high.v=8}2.3.4Constructasyntax-directedtranslationschemethattrans­latesromannumeralsintointegers.answerproductions:romanNum->thousandhundredtendigitthousand->M|MM|MMM|εhundred->smallHundred|CD|DsmallHundred|CMsmallHundred->C|CC|CCC|εten->smallTen|XL|LsmallTen|XCsmallTen->X|XX|XXX|εdigit->smallDigit|IV|VsmallDigit|IXsmallDigit->I|II|III|εtranslationschemes:romanNum->thousandhundredtendigit{romanNum.v=thousand.v||hundred.v||ten.v||digit.v;print(romanNun.v)}thousand->M{thousand.v=1}|MM{thousand.v=2}|MMM{thousand.v=3}|ε{thousand.v=0}hundred->smallHundred{hundred.v=smallHundred.v}|CD{hundred.v=smallHundred.v}|DsmallHundred{hundred.v=5+smallHundred.v}|CM{hundred.v=9}smallHundred->C{smallHundred.v=1}|CC{smallHundred.v=2}|CCC{smallHundred.v=3}|ε{hundred.v=0}ten->smallTen{ten.v=smallTen.v}|XL{ten.v=4}|LsmallTen{ten.v=5+smallTen.v}|XC{ten.v=9}smallTen->X{smallTen.v=1}|XX{smallTen.v=2}|XXX{smallTen.v=3}|ε{smallTen.v=0}digit->smallDigit{digit.v=smallDigit.v}|IV{digit.v=4}|VsmallDigit{digit.v=5+smallDigit.v}|IX{digit.v=9}smallDigit->I{smallDigit.v=1}|II{smallDigit.v=2}|III{smallDigit.v=3}|ε{smallDigit.v=0}2.3.5Constructasyntax-directedtranslationschemethattrans­latespostfixarithmeticexpressionsintoequivalentprefixarithmeticexpressions.answerproduction:expr->exprexprop|digittranslationscheme:expr->{print(op)}exprexprop|digit{print(digit)}ExercisesforSection2.42.4.1Constructrecursive-descentparsers,startingwiththefollow­inggrammars:S->+SS|-SS|aS->S(S)S|εS->0S1|01Answer1)S->+SS|-SS|avoidS(){switch(lookahead){case"+":match("+");S();S();break;case"-":match("-");S();S();break;case"a":match("a");break;default:thrownewSyntaxException();}}voidmatch(Terminalt){if(lookahead=t){lookahead=nextTerminal();}else{thrownewSyntaxException()}}2)S->S(S)S|εvoidS(){if(lookahead=="("){S();match("(");S();match(")");S();}}3)S->0S1|01voidS(){switch(lookahead){case"0":match("0");S();match("1");break;case"1"://match(epsilon);break;default:thrownewSyntaxException();}}ExercisesforSection2.62.6.1ExtendthelexicalanalyzerinSection2.6.5toremovecom­ments,definedasfollows:Acommentbeginswith//andincludesallcharactersuntiltheendofthatline.Acommentbeginswith/*andincludesallcharactersthroughthenextoccurrenceofthecharactersequence*/.2.6.2ExtendthelexicalanalyzerinSection2.6.5torecognizetherelationaloperators.2.6.3ExtendthelexicalanalyzerinSection2.6.5torecognizefloat­ingpointnumberssuchas2.,3.14,and.5.AnswerSourcecode:commit8dd1a9aCodesnippet(src/lexer/Lexer.java):publicTokenscan()throwsIOException,SyntaxException{for(;;peek=(char)stream.read()){if(peek==''||peek=='\t'){continue;}elseif(peek=='\n'){line=line+1;}else{break;}}//handlecommentif(peek=='/'){peek=(char)stream.read();if(peek=='/'){//singlelinecommentfor(;;peek=(char)stream.read()){if(peek=='\n'){break;}}}elseif(peek=='*'){//blockcommentcharprevPeek='';for(;;prevPeek=peek,peek=(char)stream.read()){if(prevPeek=='*'&&peek=='/'){break;}}}else{thrownewSyntaxException();}}//handlerelationsignif("".indexOf(peek)>-1){StringBufferb=newStringBuffer();b.append(peek);peek=(char)stream.read();if(peek=='='){b.append(peek);}returnnewRel(b.toString());}//handlenumber,notypesensitiveif(Character.isDigit(peek)||peek=='.'){BooleanisDotExist=false;StringBufferb=newStringBuffer();do{if(peek=='.'){isDotExist=true;}b.append(peek);peek=(char)stream.read();}while(isDotExist==true?Character.isDigit(peek):Character.isDigit(peek)||peek=='.');returnnewNum(newFloat(b.toString()));}//handlewordif(Character.isLetter(peek)){StringBufferb=newStringBuffer();do{b.append(peek);peek=(char)stream.read();}while(Character.isLetterOrDigit(peek));Strings=b.toString();Wordw=words.get(s);if(w==null){w=newWord(Tag.ID,s);words.put(s,w);}returnw;}Tokent=newToken(peek);peek='';returnt;}ExercisesforSection2.82.8.1For-statementsinCandJavahavetheform:for(exprl;expr2;expr3)stmtThefirstexpressionisexecutedbeforetheloop;itistypicallyusedforinitializ­ingtheloopindex.Thesecondexpressionisatestmadebeforeeachiterationoftheloop;theloopisexitediftheexpressionbecomesO.Theloopitselfcanbethoughtofasthestatement{stmtexpr3;}.Thethirdexpressionisexecutedattheendofeachiteration;itistypicallyusedtoincrementtheloopindex.Themeaningofthefor-statementissimilartoexpr1;while(expr2){stmtexpr3;}DefineaclassForforfor-statements,similartoclassIfinFig.2.43.AnswerclassForextendsStmt{ExprE1;ExprE2;ExprE3;StmtS;publicFor(Exprexpr1,Exprexpr2,Exprexpr3,Stmtstmt){E1=expr1;E2=expr2;E3=expr3;S=stmt;}publicvoidgen(){E1.gen();Labelstart=newLable();Lalelend=newLable();emit("ifFalse"+E2.rvalue().toString()+"goto"+end);S.gen();E3.gen();emit("goto"+start);emit(end+":")}}2.8.2TheprogramminglanguageCdoesnothaveabooleantype.ShowhowaCcompilermighttranslateanif-statementintothree-addresscode.AnswerReplaceemit("isFalse"+E.rvalue().toString()+"goto"+after);withemit("ifNotEqual"+E.rvalue().toString()+"0goto"+after);oremit("isNotEqualZero"+E.rvalue().toString()+"goto"+after);
2025/11/27 8:37:48 658KB 龙书答案 完整性高
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SPI总线时序详解SPI是一种高速的、全双工、同步的通信总线,并且在芯片的管脚上只占用四根线,节约了芯片的管脚,同时为PCB的布局上节省空间,提供方便,正是出于这种简单易用的特性,现在越来越多的芯片集成了这种通信协议。
SPI是一个环形总线结构,由ss(cs)、sck、sdi、sdo构成,其时序其实很简单,主要是在sck的控制下,两个双向移位寄存器进行数据交换。
2025/10/8 16:28:40 280KB sPI 时序
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利用8259A中断控制器、8253定时/计数器、8255A接口芯片以及键盘和数码显示电路,设计一个电子时钟,由8253中断定时,小键盘控制电子时钟的启停及初始值的预置。
电子时钟的显示格式HH:MM:SS由左到右分别为时、分、秒,最大记时59:59:59超过这个时间时分秒位都清零从00:00:00重新开始。
1.电子时钟具有二十四小时循环记时功能,走时要准。
2.显示格式,时:分:秒。
3.利用8253作为定时器。
2025/8/5 9:32:33 136KB 8259A 8255 8253 24小时循环计时
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网页制作代码+课程总结;
旅游网站CSS代码@charset"utf-8";body{font-size:12px;color:#666;text-align:center;margin:0px;padding:0px;}#container{text-align:left;padding:0px;width:1400px;position:relative;margin-top:0px;margin-right:auto;margin-bottom:0px;margin-left:auto;}#top{padding-top:15px;height:90px;}#logo{margin:0px;padding:0px;float:left;width:365px;text-align:right;}.pic{vertical-align:middle;padding-right:20px;}#ss{float:left;width:835px;text-align:right;height:35px;padding-top:0px;padding-right:200px;padding-bottom:0px;padding-left:0px;margin:0px;}#daohang{margin-top:5px;margin-right:0px;margin-bottom:0px;margin-left:195px;float:left;text-align:right;padding:0px;height:38px;width:840px;}#daohangul{margin:0px;padding:0px;list-style:none;}#daohangulli{text-align:center;float:left;width:90px;}#daohanga{background-image:url(images/bj01.jpg);display:block;margin:0px;padding-top:10px;padding-right:0px;padding-bottom:13px;padding-left:0px;}#daohanga:link,#daohanga:visited{color:#FFF;text-decoration:none;}#daohanga:hover{color:#333;text-decoration:underline;}#banner{background-image:url(images/pic.jpg);background-repeat:no-repeat;height:160px;text-align:center;padding-top:400px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin:0px;}#bannerimg{padding:0px5px0px5px;}.daohang{font-size:16px;color:#09F;background-color:#060;text-align:center;display:block;}#footer{color:#000;background-image:url(images/bj03.jpg);background-repeat:repeat-x;text-align:center;padding:30px0px29px0px;font-size:16px;}
2025/7/14 1:26:58 22.66MB HTML课程设计
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汇编的递归子程序实现阶乘部分代码DATAsegmenttishidb'intputN(0~7):$'jieguodb0dh,0ah,'jieguois:$'quitdb0dh,0ah,'pressanykeytoexit...$'DATAendsSTACKsegmentdb100dup(?)STACKendsCODEsegmentassumecs:CODE,ss:STACK,ds:DATAmainprocfarstart:movax,DATAmovds,ax;初始化数据段movah,09hleadx,tishi;输出提示int21hxorax,ax;清零movah,01hint21h;键盘输入数据movah,00handal,0fh;转化为非压缩的BCD码callsubproc;调用子过程movbx,dxmovah,09h;输出提示leadx,jieguoint21hmovax,bxcalldisplay;调用子过程movah,09hleadx,quit;输出提示。








2025/6/27 13:27:42 4KB 递归 算法 汇编
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ITRICIMEmulator能够读取SML档案,主要功能是用来测试半导体设备的通讯功能,它支持SECS-I/SECS-II/HSMS-SS通讯协议,支持SML格式,具有强大易用的自动化测试功能,免安装即拷即用。
使用前需要先将RS232连接线接好运行软件,选择检视。
在设定SECS-I对话窗口中输入相关的通讯参数。
2025/6/5 0:52:16 415KB secs  gem
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外卖领劵小程序搭建源码教程
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讨论了基于时域平滑和谱平滑的两种循环谱的计算方法。
同时介绍了基于循环谱包络的DS-SS信号的码片时宽和载频参数的估计算法。
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C#语言编写,需要.net4.0安装支持。
软件功能:实现读秀封面地址中的IID参数和SS号互转,并且同步封面下载到程序界面中方便查看
2025/1/30 2:22:46 7KB 读秀
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STM32F407单片机用超声波测距模块测量距离,用OLED显示出来,使用IIC协议。
HC-SR04超声波测距模块可提供2cm-400cm的非接触式距离感测功能,测距精度可达高到3mm;
模块包括超声波发射器、接收器与控制电路。
像智能小车的测距以及转向,或是一些项目中,常常会用到。
输入捕获得时间,超声波300m/ss=v*t/2
2024/11/17 8:03:14 11.56MB stm32 OLED 测距
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在日常工作中,钉钉打卡成了我生活中不可或缺的一部分。然而,有时候这个看似简单的任务却给我带来了不少烦恼。 每天早晚,我总是得牢记打开钉钉应用,点击"工作台",再找到"考勤打卡"进行签到。有时候因为工作忙碌,会忘记打卡,导致考勤异常,影响当月的工作评价。而且,由于我使用的是苹果手机,有时候系统更新后,钉钉的某些功能会出现异常,使得打卡变得更加麻烦。 另外,我的家人使用的是安卓手机,他们也经常抱怨钉钉打卡的繁琐。尤其是对于那些不太熟悉手机操作的长辈来说,每次打卡都是一次挑战。他们总是担心自己会操作失误,导致打卡失败。 为了解决这些烦恼,我开始思考是否可以通过编写一个全自动化脚本来实现钉钉打卡。经过一段时间的摸索和学习,我终于成功编写出了一个适用于苹果和安卓系统的钉钉打卡脚本。
2024-04-09 15:03 15KB 钉钉 钉钉打卡