Queues, Stack Modules, and Abstract Data Types. CS2023 Winter 2004
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1 Queues Stack Modules and Abstact Data Types CS2023 Wnte 2004
2 Outcomes: Queues Stack Modules and Abstact Data Types C fo Java Pogammes Chapte 11 (11.5) and C Pogammng - a Moden Appoach Chapte 19 Afte the concluson of ths secton you should be able to Wte queue and stack modules usng a lnked lst Use vaables to modfy the lnkage of functons and global Use opaque data types to ceate modules that mplement abstact data types
3 #" % $ % $ Queue Queue can be mplemented as a lnked lst:! & & & &
4 * /./ ( 8 - : 4 A5 8 G /./ * JP AB LK I Q + + T 8-9 : A5 2 - I 8 : I : H< / ')( + 5 ( ( + 5 ( *!? 0 > = < ( < 1 ; + 5 ( 3 B B + * 0 - : : 3 9 G * > 0 * - DFE D 3 9 L ON 0J 2 6 M + 5 ( SR B 9 B T- + 5 ( SR * 2WV C; + 5 ( - : T- D R 1 D + 5)( - : D 1 D < > + 5 ( - : D 1 D - (D Q
5 ` _X d X g c g g j o ` p j o s ` _^ vu q xb j Z Y X Y ^ X ] \] Z Y X Y X!a Z Y X Y a X b c X f e c X b)c X a m Zlk j h! c Z a j h! c X b c X f Z a n Z k j h! c Z j j m h c a _ X b c X f ^ c h X!a Z ] _^ Z j h c Z Y X Y Zq X!a m Zlk j h c Z ] ZWw s t Z j y a y Z j h c Z ] g g o
6 z { z z ~ Stack Module A well-desgned module often keeps nfomaton secet fom ts clents nfomaton hdng Clents of a stack module have no need to know whethe t s stoed n an aay n a lnked lst o n some othe way In C the majo tool fo enfocng nfomaton hdng s the stoage class
7 Stoage Duaton Scope & Lnkage Evey vaable n a C pogam has thee popetes: 1. Stoage duaton 2. Scope automatc statc block scope fle scope 3. Lnkage
8 ƒ Lnkage Lnkage of a vaable detemnes extent to whch t can be shaed by dffeent fles n a pogam. Vaables wth extenal lnkage may be shaed by seveal fles n a pogam Vaables wth ntenal lnkage ae estcted to a sngle fle but may be shaed by the functons n that fle Vaables wth no lnkage belong to a sngle functon and can't be shaed at all
9 Ž Œ Š Œ Š Ž Œ Š Stoage Duaton Scope & Lnkage ˆ statc stoage duaton fle scope extenal lnkage ˆ automatc stoage duaton block scope no lnkage
10 Ÿ Ÿ Statc keywod œ š statc stoage duaton fle scope ž š ntenal lnkage Ÿ ž ž œ š statc stoage duaton block scope no lnkage
11 ª «ª ± ²³ ± ª «ª Exten keywod statc stoage duaton fle scope extenal lnkage µ statc stoage duaton block scope extenal lnkage
12 º ¼» º ¼»  Á Á Å Â º Ä Ö Å» Æ Ä Æ ¼Ä» É º ËÊ Å» Æ º ÎÍ Ò Î É What Gets Pnted? ¹ ¹ ÎÓ º Ä Ó ¹ ½ ½  ¼ ½ ½ ¹ Á à ½ Ç ¼ É Ç ¼ Æ È Â Á ¹ ¹ Ì ¼  ¼» Á à  ¼ Á  ¼» Ï Ñ ¹ Ð ÏÁ à ¹ Æ» Õ ¼ ¹ Î ºW Ó
13 Ø Ø ÞÝ ÞÝ ä áú ã áú áú ã áú â â ç ä áú Ø ç Ý è è Þ Ý ë Ø Ùì ç Ý è â Ø ïî ó ï ë What Gets Pnted Now? Ú Ü Ü ïô Ø ô Ú Ü Ú Û Ø ØÙ à ß à ß ä Þ à ß à ß Ú Ü ã å à ß é Þ ë é Þ è ê ä ã Ú Ü Ú Ü í Þ ä Þ Ý ã å ä Þ ã ä Þ Ý ð ò Ü ñ á ðã å Ú Ü è Ý ö Þ Ü ï ØWõ ô
14 Stack Module ø ù ú û ü ý þ ÿ ÿ ú ü ù ù ø ù ø þ ù ù ÿ
15 $ $ # 1 $ $ ; # < C A! %> 1 ; < D C A $! 1 ; E!E Stack as aay " * ')( $&% "#! /0.! +! 9: / $ # $! 7 $&% 6 : $ 7 $&% B $@? ; > '! 7= 7= 6 : $ 7 B $@? ; > # 7= 6 : $ 7 $ < < D
16 F G&H G IJ IK G I FML NPO Q RQ S T UI WV YX G O KX G ZT \] ^ _` L \a cb d e S T UI Z O F Rf I K G I WV I N R I F L NPO Q RQ V V W N Z X IK G NR F G U Y X Xhg Z O F fj F G H J k I F N O Q lq K V d Y m I G R c an ] L o a^ qp c V d e J KT G Y K G F s G ZT t t u I d e IK G Z ZT R S T UI V W I NR I FML Y Zv G@w R V V W N Z X IK G NR F G U Y X Xhg Z ZT j F G&H J k I F Y Zv G@w l K V d Y m I G R c an ] L o a^ qp c V d e XY G O KX J KT G Y K G F syx x G ZT u d e
17 Ž ƒ Š ƒ { ƒ Stack as Lnked Lst ˆ ) & ƒ ~ { z { Œ Š &
18 š œ žÿ Ÿ š Ÿ «ª š Ÿ ±³² µ µ ª Ÿ ² ª ¹ Ÿ Ÿ ² ª º º š ª š» Ÿ š ¹ ¹ ª ² ² µ µ º
19 ½ ÁÂ Ã ÅÄ Æ Ç È É Ê Ë Ì Í Æ ËÎ Ê ËÏ Æ ËÎ Ê Ë Ð ÒÑ Ó Ó Å Ã Õ Ë ÖÅ Ê Ë Ì È È Ï Ö Å Æ ËÎ Ê Ë Ð Ð Ê Ø Ø È É Ö ÙÁ Æ Ç ÖÅ Ã Ç ÙË Ù Ú Û ÁÂ Ã ÄÜ Ã Ç Ò Ý Ã Ö Â Ó ÞÓ Æ ÈÛ Ï Ëß Ç Å áà â Ì ã åä â Ø à È Ï ç Æ ËÎ Ê Ëéè ê Ò Ç Ò Ð Ï Æ ËÎ Ê Ëéè êæ Ëß Ç Ð Ç ÁÏ Ç Á Ð Æ ËÎ Ê ËÏ ç
20 ô ó òë í ïî òù ö îú í ô þö ý û ò í í þö ü î ïî ö î ë ö ý òù ï îú î ò ë ö î û òù ì ëü í ï ðñ î ëì ï ø ï ò õ ï ëú ë ì ó ó ð î ëü ð û ë ó ú ì î ó ú ð ü û ëì ð í í ï ï ú í í ï î í ú ì î í ï í ï ó ú î ï ð ï ö ö ë ú í ö
21 /. ' (- 0 & & & $ : C# E ' & = D= A= A= 7 Stack Data Type Can only have one nstance of pecedng stack modules Need to ceate a stack type: % )+* '( %& #$ "! ) ' ( 1 3 / &.< ) '( & 9;: $ / 6 &.< ) '( & 9;: $ 3 / 3 4 &.< & =! / / 3.<.? > '@ = - & F % 3 % / / 3 EF.< % 4 %B. > ' & * * * G
22 N S X WV QP Y Z Z I \ QV WV Z _ ] S X QP _ ] K Z e H dl K K QV Z e H Q Jf K c Z e H Y Y K WK Q H c Y dn K Z e H d Y K P WP Stack Data Type L+M K IJ H R Q I K U IT H R Q IO I J R J I V R Q I K U I T H R Q ^ W I K U IT H R Q IO I W R Q ^ W Z P _ L IJ ` _ L R Y I J ` IJ H Wa b;c _ L d IO P f L Q R Y IJ ` Wa _ L I J ` I H V d I O P f I V e Y _ L R Y I V I J ` H g H U P Wa _ L I J ` I V Z
23 {t k k q { k ƒš o sš z y Œ q Stack Type as Lnked Lst p v t+u k s pq no l"m k j h t n ~ q s s q y;z o j x w ˆ ƒx s t o n x w t ~ q ˆ Œ ~ j o no x ƒx q { l o v ˆ Œ j o ƒx q o j ˆ ƒx q { Ž" o o ˆ Œ o j ƒx
24 š œ ž Ÿ š ž Ÿ ª ª œ "«ž š š "± š œ ª ²ª ³ š µ ž ¹ º» ¼ ½ š ¼ ½ ³ š ¼ ½ š ¼ ½ š»
25 Á Â ÄÃ Å Æ ÇÈ É Á Ê Ë È ÌÍ Î Á Ï Ð Ñ Ã Ò Ñ Á Ó É Å Õ Õ Ö Ø ØÙ Ú Å É Å Ç Ê Ë È ÌÍ Î Á Ï Ð Ö É Û Ã Í Î É Ü ÛÍ É ÅÙ Ù Ý Ç Á Â ÄÃ Å Æ Ç Ï Ï Ð Ý Å Ñ Ý Ç Á Û Ã Ñ ÑßÞ à Å É Åá Á Ë È Ì Á ÄÃ Å Æ â à Ï Ù Ãã Çä å Í Â èç Ø äé Ï Ù Ú É Ü ÛÍ É Å Õ Á Ó É ÅÙ Õ Á Ó É Å Ó Û Ë Ë Ù Á Ó É Å Õ Á Ó É Å Ó Ãã Ù Ý Ñ Ã Ã Ç É Ü ÛÍ É Å Ï Ù Ñ Ã Ò Ñ Ù Ú
26 ê ñò ðï ë ø ó ô ù öõ ÿþ ù ý ý Stack Type The pevous module allowed fo multple nstances but at the expense of nfomaton hdng! Nothng pevents a clent fom usng a vaable as a stuctue: ìîí úüû û ô ú5ý ý
27 ) (' # & % + " Opaque Data Type Incomplete stuctue defnton: can defne the type of a stuctue that hasn't been defned yet: allows one to use the type. #$ )*! as a synonym fo
28 -. / =< D E I > TS RQ R _S U Z ^ Y ]\ U U Z TS RQ TW gf ed a Opaque Data Type A data type s opaque because the clent cannot access ts full epesentaton all the clent knows s that t s epesented by anothe data type clent doesn't know that that data type s Consde module that expots a data type called to the clent 687 9;: ACB 132 defnes a type stuctue type called NPO FHG IKJ U T as a ponte to a NPO R S X T U;V U;` U T thee s no defnton of bpc h g n ths fle
29 n k j o j l pp yy xx vv uu s s vv ~ ~ yy ss wy wy Clent Implementaton kml p s s wy z { p y x p w v p p w w tt ss ƒ p p pp ww pp ss z { pp qq
30 Ž Œ š ž œ ª«³ µ ¼» º¹ The type fle Opaque Data Type ˆŠ Ž s defned n an mplementaton The clent can use the type povded thee ae no attempts to deefeence values of ths type Ÿ š; 8 s legal but ; 8 «ª s llegal because the type epesents a ponte to the type and the comple has no nfomaton about ths type Š ½ ¼ ±8² ³;
31 ÅÄ ÌË Stack ADT Module 1) the type of the data stoed n the stack s known to the mplementaton 3 ÁÃÂ 2) any numbe of stacks can be ceated; all stacks must have elements of the same type 3) the epesentaton of the stack and stack elements ae not vsble to the clent. Æ3Ç È Ç ÉÃÊ The fst veson wll opeate on a stack of nteges.
32 Ï Õ Ú Ù Õ Ú Ù Ï Û á ÓÝ ÓÝ Ï å å ÓÝ á å å ë á Ù ì Û å å Ó â á Ù ìî å ë ÓÝ å ê á Ù ì å ÓÝ å â á Ù ì â ç å ë å ê á Ù Stack ADT Heade Ø Ö Ø Ö Ü Õ Û ß Þàß Î Ð ÕÞ Ö Û ß ç ÕÞ Û ß Û å ä Ûã â ìò Î éñê è Ó Ð Û ß ÕÞ Ö Û ß é Û Ü Ý í Û ß Ü Õ Û ß Þàß ÕÞ Ö Û ß é î â ä Ý Û ß âðï ÕÞ Ö Û ß é Ý ë Ý Û ß ÕÞ Ö Û ß é Ï ã Ó Ó Û ß ÒÓ ÏÑÐ Î Í Î Ð Ó Ï ÒÓ Í ÒÓ ÛÜ ÒÓ ÛÜ ÕÞ Ö Û ß Î Ð Ò Î Ü Õ Û ß Þ ß Ò Î Ï Î Ò ÍàÓ Ð
33 Applcaton of Stack ADT ñ òó ô õñö ø ùú ûü ô ýmþ ÿ ù ûü ô ý ú ú ú ûü ô ý ó ø ú ûü ô ý ó ø ûü ô ý ö ú ÿ ú ò ûü ô ý ø û ú òó û ù ó ù ûü ô ý ú þ þ þ
34 . 1 $ "- "- $ $ "- % Stack ADT Implementaton # + (*) %'& #$!"!" 0 % %'/!" %! 4 3 %'& 2 & % "!" 0 % % / 3 4!" (: % & 9 % %'/!" % % % 5!" 0 3;4 2 (: %'& 9
35 N M CB J FE?>?> D CB OP?> H XW CB?> J?J O R _ XY F Z D Jb R XW dj R OP f N K CB?>?> F O g D Jb Stack ADT Implementaton H I < = < < = M Y Y M M < = H Q F K U O T T H H Q K > S R R M P ] A^ C ]\ H K = c P = E a? O;` Y P Y = a O;` E e b = < = H = ds < = E = c P = E a? R R O ` E e b = Fe f
36 Stack ADT Implementaton h kj l m on p q s t vu l m on pw yx t{z x n m n y k ~ k y ƒ k j v v k ˆ n o v t j Š v k y ~ ~ ~ Œ Œ ~ j m v t m k z Ž s t u t m on p j t s Ž ~ j m v y q w Œ ~ k k k k m t m t m k t o s m š š
37 «ª ž ± ² ² ¹ Stack ADT Implementaton ž œ œ ž;ÿ œ ƒœ ž;ÿ œ œ ³ ;² µ ³ ± ³ ² ² ² ³ ² ³ ± ª ¹ ¹ º
38 Ï Î Ã ½ ËÊ ÂÁ ÂÁ Ä Ë Ç ¼ Ð Ò Å Ï Î Ñ¼ Ƽ Õ Ó Î Û Î ÜÐ Õ Stack ADT Implementaton ÃÉ ÌƒÍ È Ç Ç Å Æ ¼» ÌƒÓ ÌƒÑ Ø Î Ö ÌƒÍ È È Ñ Ó Õ Ñ Ñ ÇÚ ØÙ Ö Ñ Õ È Ñ Ç Ç Å Æ Ì Í È Ç Ç Å Æ Ý Ý Ì Í Û
39 ß Þ å è áà â é ç õ ò ô îí ï ì ó ö ý ÿ ùø ú þ Shallow and Deep Copy To push a new element onto the stack: åëê åá ã ä If ò î ð ñ and ae pontes ths esults n a shallow copy. If clent deallocates vaable ponted to by then becomes a danglng efeence û ü ý ù
40 ! '! % Shallow and Deep Copy Fo a deep copy use a callback functon. Fo example fo stngs and doubles: &% $ "!! #"! #" '
41 8 7 4 / /.6 5( 3 ; : 5( 9 ; : 5( 3: = 7 B / A *( 3:? C FE. FE 9 = 7 /.. 3: = C 3: 9 = -. ) * ( )+* ( * 6 / 1 < 5 - ) * ( < ; > 7 G G )+* ( 4 ; 5 9 >2D?? G G 6 / 1 < 5 4 3: ( < 5 6 / 1 H
42 T SR Q O XW cb h a U _ c k XW cb h a U _ N M P Shallow and Deep Copy N M L M K K I2J We need anothe callback functon Fo example fo stng and doubles: dfe ^ ] \ ] ^ ] ` ^ ] \ ] Y2Z g V U h2j U Y2Z dfe ^ ] \ ] ^ ] ` ^ ] \ ] Y2Z g V U k
43 w v q on on z q on z ƒ~ on on nm z q ƒ~ on ~ ƒ o z ˆ ~ o { z ~ ƒs on { n z ~ ƒ on n n { z q ~ ƒ { Stack ADT Heade wth Deep Copy y m l t x t sut p o l#m z y x ~ l t w y x ~ l t l v l { p o l#m l m l t x t l { l t l t x t y m l t x t p y m l t x t l t l t x t o ov p y x ~ l t l t y x ~ l t ƒ l m n l t l y x ~ p y m l t x t l t l t { Š y x ~ l t l t y m l t x t y x ~ p z l t o ov l t
44 Œ š œ Ÿ œ œ Stack ADT Heade wth Deep Copy Implementaton of callback functons must be povded by the clent &ž Ž Ž Ž Ž Ž Ž Ž ž Ž Ž Ž Ž Ž & They ae declaed n the heade fle so that the mplementaton code can call them
45 Stack ADT Implementaton wth Deep Copy «ª ²± «ª ³ µ ª ª µ ¹ º» µ ¼½» ² ² ½» Á  ª à à «² &Ä ²» µ ¹ ¹ ¹ Á Á Å» Æ Æ ¹ º Ç ½ ² Ç Ç È ±&É «ª à Êà ½ È ¹ Ë ² ÍÌ µî ³Ï Î ÅÆ Ð Ì ¹ Ñ ½» Ò Ó Á «ª ª «ª ² ¹ ½» Ò Ó½ Ë Á Ò Ó Ò Ó Á ½» Ò Ó«½ Ñ
46 å ä Þ ã Ý Ú àú Ý ÛÚ ß ÛÚ Ø à Úç ë Ú ì í àý Ý ÚÙ ë ì ß í Ý ì ß î óð Stack ADT Implementaton wth Deep Copy Ø Õ Þâ Ö Ü á Ö Ü ØÙ Ö ÕÖ &ç ØÙ Ö Õ Ö ç Û è à ê é à Û è à à í Û è à ê ãì ç ï íî Û Û è à ê à ë à í ã ì ç ñì ì ð î àý í ã ì ä ç Û è à ê á à Þ Ö Ü Ö Õ Ö ä ç uû è à ê á à Þ Ö Ü Ö Õ Ö ò&ó Û Û ä ç Û è à ê á à ò&ó Û Û ç Û ó ô
47 ý ø üû üû þ ø ö ÿ ö ø ú û üû û þ ÿ Stack ADT Implementaton wth Deep Copy ý ùú ÿ ùú ö õ ú ö ú ý ùú ÿ ÿ
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