Chapter 8: Sorting

char txt tl,laxsrRt ;

aryecto!(r.NP) Iif ( (rp = fopen("tarray.i::_,

n!er!o' ( oDlta f e llr:-_r!fgers(rxt,uAxsrR,fp) ;for (i=1;i

Choptet S: Sornns 103

roF a eariety ofso.trr r6}J incfrdirstrcPanns an iidet table fot the order.bL showits the Iank otdet ot ea.h. nale &.zy by the straisht inieltionDtethod but n*6 the cort5poailih.'Ell. shett .tu.1is our a Sie/i sori., ad they are rclsteal in the s^me \|zy::: erLs a $;ale aday; so!r2 softsbsits z se.ord athy. qcksrt sort,.htn is f.st (on zveftse) but requit5i, iI pbdu. a 6qoDd trcJ thst|fr-viD ite order of tlreir e',e. softl! bt s.titA one t$y \|hite tua|ins

xr6. .anK prcducg tle.et ia6,cb r s&ord a..ay whce eieaafs ii.,ljl@@ts of the oieinel ztay...:.2 z deal with equivalence ctsses..zb ele@ent in

^t atay bsed @ aE a itput. ecrazz sives the sarle.d:Tiiv (i, k) which tells whethe!ree equjvala. dars.

,r iDsnion. Sample progam xpiks!1. c1l :airay.dat which is lisleat in fteloft lhc oliginal and rhe sorrcd alray fo.

char t:rtldslRl;

a4ecro! 11, NF ) tIf ((fp = fopen(italray.dat"r"!")) -- NUL')

nrerro!(!'D,r: fils TARRAY.DAT Tot found\ni) ;fqets {txr,ldslR, rp),fo! (i-r;i

Chaptet 8 of Nluneicot Recipes cove6 a nietv of sottjts lasks includlngsorfine Mavs inlo nMed.al otale\ Prcpa ne M iidu table |or the otderot an *tzy, nd preparinl a t k tsble showj,8 the re* odet of Fa'helement in the ai'sy. pikslt sotts a 6irgJe drav bv the

'traieht itsertio

method. pikslZ sotts by the Bsme method b,t' mal6 lfie co'respotdr''stea ncenent of a seond a av 6 weli. shell

'aries oot 2 She sott'

sort ;d sorr2 boii do a Hedpsort, ud thev arc rclated in the same qav6 piksrt dd piks!2 Tlat i!, sort sor,s a 5j,Ele atuv; satt? sortsan t.ay while .onesPotilinSly resEzAginc s se.ond 6.ral qcksrt sortsn attzy by the Qdcksort slsorithm, which is fst (on avetaee) b& requirea small sotrnt of a]u'ltiliatv storase.

lndelr itdxer M aftzy. That is, ii prcduc6 s seconil a$zv lh^trcferenc9 the elefunts of the oi?in\l aftav in the order oftlieit size sor!3uses index)< dd l:llus!6ts jt! vahe bv sottitc o,e dtuv while mzkins.oBsponalins retftltsements in two othes tank produ'6 the ttuk 16blefot u my il data. The tsk table is a second aftsv *hde elements lbtile rel orde. of tle co.ssponalins elements of the ot'jdal atav

Finail,,,h rouiites eclass d e.razz deal \|ith esdealen'e clDsesecrass sives l,he equivalen e class of es.h elnent in an ttav bsed on alist of equiwlent PaiB which it is Eiven s inp\t. ec\azz cives the sameoutptr, but bates i, on a p.ocedure nded equ iv (i ,k) whi'h tells ||hethettwo arny elements j d k are in the sar,le eEtivaierce ciass'

Routine plksrt sons an a.rr.v bv straighr insenion Smple pro8ftn xPiksrr 'c.mvides iL;irh a lo0-elemenL armv from file La!!"Y dal shich i' lisred ;n rheippendix ro rhis chaprer. Thc Pmgran Pthl' bo$ lhe original and fte soned atr'av ror

/* Drive! tor rouline PrxsRr r/*incrude

'*include "nrut ,h"

I

tu

char txrlMAxslRl,

a=v6cco! l1,NP),if I (fp = fopen("rallay.dat", :

ue!!o!( lData file TARSY.::: :fqers (lxr,MAxsrR, fp) Ifor (i-1;i

r ar4 NM.n.aI R.ciDes Exatwl. Book/* soit a and nix b )/plintf {"\nAfter soltinqfor (i-0ri

:x:; b, alray a ls:\n');-r-- 2:", a t10!i+jl );

'r_.2:",bt10ri+ll ) r

-:E a, arraY a is:\n )t

'tr_.2!,at10*i+iI),

_:r-2t,bt10ti+ll);

f a dara array. Th calling fornat is idnticalF samplc Fogram, now carbd xshell. c

ChaDt.r 8: Somng 105piiDlr ("\tr");

lp.tDtf (

" \nsoltd alrav: \n") tfo! (t-0;i

1ft Nut wical Recb.s Exanple Book

Ich'i lxt li,axsrRl ,

a{ecto!(1,NP);bTecto!(1,NP) ilf l(!P - fopen("tarlay dat","!i)) == \'vtr)

n!6r!or{i'Dara file raRRrY.DAr not fou.d\! )tfgers (rxr, n\xsrR, fP),foi (i-1;i

Chqrer 8: Softin8 l0-7/* Dliwe! for toutino IlrDExx r/

Iinclude

*include nluti1.h"

Icha! trttlrlxsrRltirt i, i, rindt;

indx=ivector(1rNP';a4ectorll,NP);if {(fp - fopn("tariay.dat" r")) == NU!L)

".""'"'rioot. f e TABRAY.DAT no! fould\n )'faet3 ltxt,MAxsrR, f P) it;! (r-I;i

\ --,!-:: at::ts E ,hp|e Book

i

.har dumv tNlENl, amsq tNrEN+l1 , breg tN!EN+11, cnss |N!EN+11;cha! astlcpyO, *6tlcat O;

aaector(1,NtrEN);baector(1,NLEN);c{ector (1,NrEN);(woid) stlcpy(ansg, .r.d lattrer nawe a botrle in frort ofi);{void) strcat (afrss, " re than a fronral loborony..);p.iltf ( \ro.isinar hessaqe:\nts\n,arcq) ;/i iead array df randon nun$ers */if ((fp

- fopen("ta!ray-dat",,'! )) -= NUlt )

nlerior(iDara fite laI@y.DAr not found\n,,);fgets (dwy, Nr.EN, fp) ;fo! (i=1;i

Chapw 8: So nS 109/i Dliver for routine F.M r/

Itnclude +includ "nrutl1.h"

Icha! txt tlrdstRl;int i, J, *.1r *indx' *irank,f10at *a,bt11l;

indr=rwcto! (1,NP);1lalk=ivecto! (1,NP),a4cto!l1,NP)rif {(fp = fopenl'!:rray,dat","r')) -- NUL')

nErlor( '.Data f e TARRAY.DAT lot found\n");tgets (txt,l4AxsTR, f P),fo! ri-l; i

110 NMeicaI Recipes Exa,'ple Book

/r Dliwer fo! loutine ocKsRr */*In.Iude *irclude nrutil.h'

Ichar txtr axsrRl;

aaecto!(r,NP)rif ((f,p - fope! ( tarray.dat',

' )) == l,vl!)file TAI@Y.DAT not found\n );

fget. (txt,ltr.rsTR, fp) ;for (a=1ri

_!7.2fo,at10ii+il),

-1?.2f", a tr0*i+jl ),

f cquivarence clalses for fte elemnts of anI and tisLb Ijl which list equiyalent pai$

,2,6,2,7,!t,3,4,123,6,10,14,3,7,15,8,4

5, I is cquivalert to 9, elc. Ifyou work it oDt,

1,5,9,132,6,10,143)7,11,154,4,12

and oughl lo sgee with this list.

/i Drive! fo! roltiDe ECTASS */

*include lincrude nlutil.h

{ int i' j, k,]clas/ncrass, *nr. *nf1as, *.3av;srarlc inr lista ll -{0,1,r,5,2,6,2,1.t7.3' 4,12) 'Iistbtl-10/ 5r 9r 13,6,10,14t3t 1,\5,4,41tnf=iwectorll,N);nflag'ivector (1, N) insav=ivecto! (1, N) reclass lnf ,N, llst!, listb,M) ;fo! {1=1ri

I112 Nu"eical Recipes Erample Rook

rerurD {i $.a) == (j * a);l

Iint i/ j, */ lclas/ rclass, *nfl *nftaq/ *nsav,nf-iwector (1,N);nflaq=iwctor (1,N);nsav=ivector(1,N);eclazz (!f,N, equiw) tfor (i=1ri