LnSOS BOOT 1.1 SOS.KERNEL SOS KRNLI/O ERRORFILE 'SOS.KERNEL' NOT FOUND%INVALID KERNEL FILE: xةw,@  ȱlmi8#)!) WAP /// SIG PUBLIC DOMAIN LIBRARY PDS NAME: CHAOS PROGRAMS IN PASCAL DISK ID : 3PCL-09 BOOTABLE? YES Disk by C.M.Davidson February, 1991 INTRODUCTION This disk contains several programs for drawing some of the familiar icons of chaos theory: MANDELx*SOS.INTERP (4kee"! *SOS.KERNEL \,Ve"!a%SEG.T jŸ/ %SEG.G v +SCR.PRT.INV!e+!/*HELLO.TEXT$e"/LORENZPROG.CODE e!!-/MANDELPROG.CODE e !*MENU.MAKER }>-READ.ME.FIRST[ e*SOS.DRIVER 4ZIII.PCL.09u' )HELLO.PIC!@e:!e:)BGRAF.INV(e*!L+DISKNAME.DAT" e!!b)/FEIGENPROG.CODE e!!+FLASHNAME.DATMHELLOELLO >dLԡm#i㰼m#iЕOLԡȱfg hi !dLԡ憦  Ljmkm l y`2 Lԡ8(Je稽)ʈ@LBROT graphs, FEIGENBAUM diagrams and LORENZ attractors. The material draws very heavily on the book: Dynamical Systems and Fractals - Computer Experiments in Pascal. by Karl-Heinz Becker and Michael Doerfler Cambridge U  BOXMANDE fic to the main text being compiled. These are all found in the subdirectory FRAGMENTS. mes are self-explanatory) from which each of the three programs is compiled, as well as a skeleton text file for use in generating other programs. Each of these text files uses {$INCLUDE} commands to incorporate a common file of utilities and a file specicommand level after 'RETURN' is pressed. LORENZ.PIC (Side 2) illustrates a typical shape for the Lorenz Attractor. Side 2 also contains two subdirectories of Pascal source code - FULLTEXTS and FRAGMENTS. FULLTEXTS contains the main text files (their nacus; most often its track oscillates between two separate loops in the well-known 'butterfly' figure. The plot is interrupted by any keystroke, upon which the program saves its diagram under the name LORENZ.PIC in the active directory, and returns to the tions used by Lorenz in his discussion of the instability of simple systems: x' = A*(y-x) y' = B*x-y-x*z z' = x*y-C*z then proceeds to plot the movement of a point subject to these constraints as it succeeds or fails in finding a stable loAUM.PIC' and awaits a 'RETURN' to return to the Pascal command level. FEIGEN.PIC (Side 2) illustrates an overview of the diagram, between the limits shown. LORENZPROG.CODE when executed prompts for the three parameters A, B and C of the differential equabefore points are plotted, and how many points will be plotted, in each generation. It then computes the necessary iterative calculations and plots the FEIGENBAUM BIFURCATION diagram for the field specified, saves the diagram and its variables as 'FEIGENBviewing with the Basic Menu program. FEIGENPROG.CODE when executed prompts the user for the left, right, bottom and top limits of the field of interest, as well as for two more variables which determine respectively how many iterations will be performed ANDELBROT.PIC' and is returned to the Pascal Command level by hitting 'RETURN'. FULLMANDEL.PIC (on side 2) illustrates the complete Mandelbrot diagram for all areas of interest. It was created as a Pascal DATAfile and converted to a FOTOfile for ease of to be scanned. It then sets the top limit to maintain the diagram proportions and plots the area of the Mandelbrot diagram covered (this can take several hours!). Finally it saves the diagram as a Pascal DATAfile in the active directory under the name 'Ml application - from which I have adapted the programs here. DISK ORGANIZATION. Side 1 contains three Pascal codefiles and this information file: MANDELPROG.CODE when executed prompts the user for the leftmost, rightmost and bottom limits of the field niversity Press (1989) ISBN 0 521 36910 X (paperback). Needless to say, alas, Apple /// Pascal is NOT one of the dialects treated by the authors (IBM, Macintosh and Amiga are the favoured machines), but some information is provided on Apple ][ Pascabbbbbbbbbbbbbbbb@nLbbbbbbbbbbbbbbbb@nL|FEIGENPR @ ,,,.N Ƃ'7Ƃ* Ƃ(GRAPHIC:MANDELBROT Diagram: Centre (Ƃ*,Ƃ(צ )   Iterations.V צMandelbrot.pic7, 188'7 87887B,LRbx,\8< 4 Hv ,,,.N Ƃ'7Ƃ* Ƃ(GRAPHIC:MANDELBROT Diagram: Centre (Ƃ*,Ƃ(צ ) VC צLeft > Right > ץצBottom > Maximal Iteration > ץ  Ƃ'7GRAPHIC: Corners:   rB ޥ   0  ȡO 0ȡ&   --------------------------Start :lצ To Stop :      J     0  NTo end drawing hit צBEGIN :7777V7 "7!Calculation of MANDELBROT Diagram/7/ǰ7ǰ7:7/7 7 7/7/77 7 87/ǰǿ7 ǿ7 ǰ7/ǰ7/ǿ7ǿ7ǻ7 H 0  N ȡ$@? " 77   0  N 7  77 /ǰ7 7ǰ7 7٪PR*٪P R*٪PPR*تPR(تP hit R8 ٪PR*٪P R*٪PPR*تPR(تP hit R8 7/7 7 7/7/77 7 87/ǰǿ7 ǿ7 ǰ7/ǰ7/ǿ7ǿ7ǻ7 H0     N0   ȡ$77  0     N 7  77 /ǰ7 7ǰ7 7/7/ǰ7ǰ7: ٪PR*٪P R*٪PPR*تPR(تP hit R8  !bbbbbbbbbbbbbbbb@nLLORENZ 787887Bj,LRz\<|<f~J8,Top >ץ.צInvisible >6Visible >ץ7Ƃ'7GRAPHIC: Corners: 2,0,.,,.N Ƃ'7GRAPHIC:FEIGENBAUM Diagram.N NצFeigenbaum.pic7,188'4 4z2W צLeft >2Right >ץ0צBottom >,Top >ץ.צInvisible >6Visible >ץ7Ƃ'7GRAPHIC: Corners: צ--------------------------צStart :צ To Stop :  "0200ȡr42>6ȡ47ȡ!2002,., NTo end drawing hit צBEGIN :7777V7 "74Calculation of FEIGENBAUM Graph. /7/ǰ7ǰ7:7/7 7 7/7/77 7 87/ǰǿ7 ǿ7 ǰ7/ǰ7/ǿ7ǿ7ǻ7 H2002,., N ȡ$.,@?02" 77  2002,., N 7  77 /ǰ7 7ǰ7 7   NTo end drawing hit  צ+-------------- Graphics Mode --------------צBEGIN :77777 "70Calculation of LORENZ Attractor. צ--------------------------צStart :|צ To Stop : #< #< SOS NTRPRHeLZĠР쁭堠堠ՠP򠭠έ魭_3fI3fM3~?@<0py`~@3fI3fM3~`O<faC~||~@?`0pf0 a @0 a|1 `w~ 8`cf|p~G|@?p~x?p@?p~~~Gy?programs were developed. Knowledge of Pascal is required. We hope you enjoy it and encourage your submission of programs to our PD library. PD library. ugh again with another wonderful public domain disk! This one if for all you Pascal programmers out there who enjoy Mandelbrot and similar graphs. There is a "Read-Me-First" file on side one that will explain what is on this disk and how the #%0 WELCOME! WAP /// SIG Public Domain Library Disk Category: Pascal/3PCL-09 Disk Format: Self-booting /// SIG member C.M. Davidson comes thro /// /// /// /// /// /// /// /// /// /// /// /// /// /// /// /// SIG, Washington Apple Pi 12022 Parklawn Drive Rockville, MD. 20852 (301)-984-030CHAOS PROGRAMS BY C.M. 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(`ɖ" (èÈ``,t0L4 HH`L  d!  `ɖ" ( dÈ  ``,t0L4 d0Cս30. , V  @„ȄL5p Q%Q̑`pPIE1pΦ#$01ʐ1`JJJJ)`%υߥ`1(ȦJJJ`&&*`JJ` **&*&ߥ`J` ***`` ` Jjjߊ` ߊ`JfJfFߪ߆` `JfJfJfF`ߩ`$011̰JJJ LP \LD$7߭$PH8 nߩ nh ߍϭ - k, ϥ- kϱϮEϑʩ`P z  HH` k(h`$0#$E$0p Q%Qʑ`pPIE1p$E$0(L%τ`ϩE҅0Ȅ(fL% ('Άѽн`8Hٰ hIiHمh8Iif٤Φݰ>Jj8ۅe݅eޅ $  m`!J8݅ eۅ$  m` , V $צ!ϤҐ мφi`Jf`<,&ʰ,i8i#Hiihifʦʆi) v`i,ʐi,iPIIʥ)ifʦʆ̐pLj/Fϐ&Ȅ`'@τ`Fϐ@ E҅F8ئȢΆѽϽ`/epɀjff&ݥeepɀjffݠ %)  %)`%  0.)      0  ` ` @ ``8٨JJJ ) u˘ vͽʅ̆`8Hi #i,$0F y բӅLx  mӥmԐL] h `  )`%)8`)    H   ʥ)Ģ    H Ģ L E% %) L 8`ۅ&ۥe륅eٍeڍ808٥8٥ 8مڅ H , V Εm٭mڭ))njnjnjfjfjfj+mӥmԐ8L( Ӣ й` m j`Hآ Hӭԭ h h`8٭028ٍڍ0Z$eٍeڍm٥m8٥08ٍڍ`8٥058ٍڍ0ԭ V 8fxL@ ] I)!) g 80 J8}L y L 0yʽz0 y L7  Lh `*f*&*)` ϭPh0 йPL)`)L` L``  `L` H , 8 V ТΕLϦI ] +)J* g I`LL) @L) L8``Lթ`~L8L)  =H 'HH N M))Mhh0 }LO}~~Șݻ~`}}~L< L }ީ~` ɠɀ)ӮԮmwӥmxԐ mi` HHGH`  &xix 0ޤՐڢ,P<0 )ߍL- J,P,QJ,R,SJ,T,U,W`,t0L40 ( dȅɥŐ ĐL `ʝ`))ժuvЭ H ʊJyjhz|ֆ׆ح)JfJf$PIJfש ʈ8 @ש wx LVخ ʊJJJ莟mwwJ) ܭL FܪJJJJ)`'+9;=?ACEGINR\aejns~  #&).369<ADGJMP^g $*-06=HLORWcfloruz/47=G\x{~'+.149?CGIKMOQSUWY[]_acegikmoqsuwy{}1600 =Q:WW=0A=:A=21A=9&oldprefix$=40A=31410: Control C "aborts" program to Basic(:A=13770: Return Selects a file *DA=27:50: Escape to change disks/FA=324000: back out one directory level 3GA=(80+UCA)A=(80+L"BASIC 0":150A$="TEXT 0":150A$="CAT 0":150A$="FONT 0":150A$="FOTO 0":150A$(L),"BLOCKS")510*=27:=19:"FREE MEMORY AVAILABLE: ";=7:=20:"80C";A$(L);$:=5:THPOS=4:I=1:IBOTM=J-1:620Q=:=26:=21:sic; +Q Quits."r12);::"80C";a$;:+w#9,"DISKNAME.DAT":#9;DISKNAME$:#9|d$=DISKNAME$$=23:=0::"80C";d$;::12)201M=3:=14:"This /// SIG Disk is \^ 19";Р,2)", Washington Apple `, Ltd."=4:B$(1)="":B$(2)=""A$=16,B) THEN 240 #1, d$="":=10:"80C";d$ ž#1300I=0"I=I+1:#1;A$(I):290,#1 6L=I-1@j=1:same=0 J:SEG=0 Tœ2030^CT<1CT=1cCT>13000Zha$="{,|,~,}; selects; to new disk; J/2)=4:=+1:ۙ=44B$(J);:J=J+1I:1,180,22:2,280,21:2,2380,23:8A$(1000),B$(1000),C%(511),C$(20),name$(20):=10:=0UCA=128:LCA=UCA+32CT=15 IF PREFIX$= PREFIX$+MID$(B$(I),VOLUME NAME (/DISKNAME) OR DEVICE NAME (.Dx)"P12);::"80C";a$;:Zb$="CHANGING DISKS"$d=23:=0::"80C";b$;::12).n=12:=20:"MAKE A NEW MENU FOR DISK: ";N$xN$)<2110=N$ :210 I=1L(A$(I),A$))200B$0 WAP /// SIG MENU.MAKER PROGRAM (v. 6.2) =".D1"210: Coldstart (320: Warmstart &*X=11000: TEXT SLOW-DOWN LOOP ,X.1 CHANGE DISK SUBROUTINE23œ202:2200<RFa$=" YOU MAY SELECT YOUR DISK BY 79C";"PRESS ANY KEY TO HALT LISTING"::202 1020#2,B$(I),16,B)ž#242:::1160Z=1#2;A$:"78A";A$Z=Z+1:Z>1842:::Z=1980*:=23:=0::"79C";"CONTINUE...?":1C$:C$<>"Y"C$<>"y"C$<>"N"C$<>"n"10 MENU.MAKER TEXT MODULESEG=0"MENU.MAKER"890&*X=11000: TEXT SLOW-DOWN LOOP ,X.1,180,22:2,280,21:2,2380,23:z:A$="LISTING "+B$(I),16,B)$=01:=0::"80C";A$;::12)>=23:=0::"    ) . 6 = J P S X [    $ 3 : = F d  > B H M s `e|&+.QVYcjuy~':{%(-47=FMUX\_jmz  .169DWfy   % * > A H K Z v z }      % , 1 5 : = B K R Z _ b g n s x ~ CA)"PRINT.ALL": OA+P 3HA=(81+UCA)A=(81+LCA):::: OA+Q Quits 3IA=(83+LCA)A=(83+UCA)"PRINT.SHOW": OA+S 2JA=(68+LCA)A=(68+UCA)/Screen.Savers/HELLON=THPOS:B$(I);XA<8A>11540bA-7640,660,690,720l:=THPOS:B$(I);v:520: 500THPOS=4:I/2=I/2)I=I-1I=IBOTM THPOS=44:I/2<>I/2)I=I+1I2=-1:I=I-2:IBOTM<30THPOS=44I=IBOTM/2)*2:=+IBOTM/2)-1:R",220(204::"79A";""; 2D=1:F=1 <#4;a$ FD=D+1 P#5;a$ZD=60#5;12)dD=60D=1nF=F+1::d$;::Y=1100:Y x13402  CATCH PASCAL TEXT FILES 202 :F*=08:"78C";"SORRY BUT MENU.MAKER CAN'T R".D1/MENU.MAKER",220 d$="" A$="PRINTING "+B$(I),16,B)=01:=0::"80C";A$;:#3,B$(I),16,B)Z=1#3;b$:"78A";b$Z=Z+1:Z=18:1290 1260 #4,B$(I),16,B)#5,".PRINTER"+ž#4#5;12):::".D1/MENU.MAKE30C$="N"C$="n"1160;:=23:=0::"79C";"PRESS ANY KEY TO HALT LISTING": $1020.202 8::Z=1B::=23:=0::"79C";"WOULD YOU LIKE A PRINTED COPY?":1C$:C$<>"Y"C$<>"y"C$<>"N"C$<>"n"1170*C$="N"C$="n"a$,1)="/"5060:s=s-1 5030=a$240 MENU.MAKER 6.2 * Thanks to C.M.Davidson for his help!el; G$:::320H: Error Routine 202:U=11:"79C";"BAD PATH ERROR (NO DISK IN DISK DRIVE OR DESIRED FILE NOT FOUND.)"X=11000:X:::210Z a$="{,|,~,}; selects; back 1 lev 1600 &:WW=1:0 :SEG=1;".D1/S EG.F" SEG=1".D1/SEG.G"diskname$=3802  CATCH PASCAL TEXT FILES 202 :F*=08:"78C";"SORRY BUT MENU.MAKER CAN'T READ PASCAL TEXT FILES."04=10:"M$="NOVEMBER":1750M$="DECEMBER":1750826);"-";M$;" ";Ѡ,2));", ";"19";Р,2);" ";/П,2))=>13П,2))-12;џ,6);:1780$П,2))=0"12";џ,6);:ٟ;$П,2))=>12" PM-":" AM-" 1830WW=1530 =26:=211660,1670,1680,1690,1700,1710,1720,1730,1740^M$="JANUARY":1750hM$="FEBRUARY":1750rM$="MARCH":1750|M$="APRIL":1750M$="MAY":1750M$="JUNE":1750M$="JULY":1750M$="AUGUST":1750M$="SEPTEMBER":1750M$="OCTOBER":1750T 0")2070H540R\A$="RUNNING "+B$(I),16,B)f"79C";A$;:=0pB$(I),16,B) z::SEG=1".D1/SEG.T"t=+B$(I),16,B) yCT=CT+1~240:=24:=0:"@ ..... "DATE.TIME.LINE" ....JM=Ҡ,4,2))BTM1630,1640,1650,0=+IBOTM/2-.5):I=IBOTM:I/2=I/2)I=I-1 œ2120B=B$(I),16)," ")-1 B$(I),"BASIC 0")850B$(I),"TEXT 0")890 B$(I),"CAT 0")1140*B$(I),"FONT 0")18504B$(I),"FOTO 0")1930>B$(I),"PASTXEAD PASCAL TEXT FILES."04=10:"78C";"ANY KEY RETURNS TO THE MENU."!>G$:::".D1/MENU.MAKER",3201 MENU.MAKER GRAPHICS MODULE (COLOR SUPPORT) SEG=0"MENU.MAKER"2".D1/BGRAF.INV",".D1/SCR.PRT.INV":INITGRAFIX#5,".GRAFIX"#CC=0(D$=B$(I),16,B)2name$=34)+D$+34)<C=1:N=0:Z=0:BD=0F200P INVERSE THE GRAPHICZC>1=12:=40:""4  CHANGE COLOR (Epson compatable Color Printers)4COLOR$=27)+"r"+N$>#8,".PRINTER"H#8;COLOR$\  COLORS M$="0"+N$M$="00"M$="Black"M$="01"M$="Red"M$="02"M$="Blue"M$="03"M$="Violet"MOVETO(%0,%0):LINETO(%0,%191):LINETO(%559,%191):LINETO(%559,%0):LINETO(%0,%0):BD=0!N=1MOVETO(%1,%190):#5;D$ GRAFIXONPSCREEN(%CNDS)X=12000:X N$="0"800#8;12):#8:CC=CC+1:40XFROPTION(%6) FILLPORTGreen) "YN$ZN$>"6"600[900]=16:=70:M$" "gN$="0"620 i800:#8lX=1600: vGLOAD.D$Z=1720bBD=16000B$="N"B$="n"=14:=44:"NO ":600 :B$)=27"MENU.MAKER",220MX=16:"Color? (0=Black;1=Red;2=Blue;3=Violet;4=Yellow;5=Orange;6=.MAKER",2202=14:"Add a border? ('Y', 'N', or 'ESCAPE')"B$&B$="Y"B$="y"=14:=44:"YES ":BD=1:B$="y"=12:=44:"YES ":N=1:530{B$="N"B$="n"=12:=44:"NO ":N=0:530 B$)=27"MENUB$="y"=10:=44:"YES ":CNDS=CNDS+57:480bB$="N"B$="n"=10:=44:"NO ":CNDS=CNDS+17:4805=12:"Include the name? ('Y', 'N', or 'ESCAPE')"B$|B$="Y""CENTERED ":430 B$)=27"MENU.MAKER",2205=10:"Rotate picture? ('Y', 'N', or 'ESCAPE')"B$ B$)=27"MENU.MAKER,220"bB$="Y"B$ԐB$="L"B$="l"CNDS=128:=8:=60:"LEFT ":430B$="C"B$="c"CNDS=0:=8:=60:":80"A$="2"330,A$="3"Z=1:330/6A$="4"::RELEASE:".D1/MENU.MAKER",220@270J^=0:=0::"79C";D$;:*h=23:=0::"79C";"PRINT GRAPHICS": rœ200E|=8:"Picture at left margin or centered? ('C','L', or 'Escape')"ENU.MAKER GRAPHICS":1=8:=20:"PRESS '1' TO SEE THE GRAPHIC ONLY"7=10:=20:"PRESS '2' TO SEE AND PRINT THE GRAPHIC"@=12:=20:"PRESS '3' TO SEE AND PRINT THE GRAPHIC INVERSED"2=14:=20:"PRESS '4' TO RETURN TO MENU.MAKER"A$A$="1CC>0160d=10:=40:"" nGLOAD.D$xXFROPTION(%6)MOVETO(%1,%190):#5D$8MOVETO(%1,%180):#5"ANY KEY QUITS TO GRAPHICS MENU" FILLPORT GRAFIXON C=C+1B$ :::=0:=0::"79C";D$;:/=23:=0::"79C";"MM$="04"M$="Yellow"M$="05"M$="Orange"M$="06"M$="Green") MENU.MAKER GRAPHICS MODULE (v 6.0)  PSCREEN PNAME PSCREEN PSCREEN PRNAME PRNAME PNAME  E  xwvumlkhgda^[XURQNIH80!}|hc_ hhh5h66 )5HH`@HLy,0׌ ` .PRINTER /0.,)&#!    ~{ywpWPOJB<3+*$  }y h,pei,PJ( "Ј L2 "#/*$hhh` "',PO""#',P)  ʱ)  ʈ Ly,0"#   K,i"i# " O.J ní ,PJ(L\L "  L04"# O 0JH*h0,pH  "#`J)mJJJj0i(m``,PJ ,P H e,P%hL,P H e,Ph,p1 ,0 p  p,0I)M``,hhh hHHHHHL %&Ly)+/* "#~)L,P,P ,P `,0p@ A"# ,0LLLyGA3/1.01:7SYJOIN OTHER WAP /// SIG MEMBERS ON THE TCS! CALL THE WAP OFFICE FOR DETAILS. hIhJh\h] wh]h^ w\\ ]] ]L ]L\A \A JHIH`i8\i]i\`\]`K`M %b&*L+ 16>:)    kLGA3/1.01/LINr GRAFIXMO JOIN OTHER WAP /// SIG MEMBERS ON THE TCS! COSTS ONLY $6.00 PER YEAR. B$(I),16,B)name$=34)+D$+34) GLOAD.D$16);1) GRAFIXONX=12000:X::RELEASE:#5302l ...... WAP /// SIG MENU.MAKER (VERSION 4.54):=21:1400 T1400 ^:WW=1:h |: CHANGE THE FONT".D1/download.inv"C$=B$(I),16,B)array$="C%"name$=34)+C$+34)getfont(@name$,@array$)loadfont(@array$)J=1:SAME=0:215#5,".GRAFIX"".D1/BGRAF.INV"D$=50M$="NOVEMBER":1550M$="DECEMBER":1550826);"-";M$;" ";Ѡ,2));", ";"19";Р,2);" ";/П,2))=>13П,2))-12;џ,6);:1580$"П,2))=0"12";џ,6);:ٟ;$,П,2))=>12" PM-":" AM-" 61630@WW=1390J=26,1450,1460,1470,1480,1490,1500,1510,1520,1530,1540M$="JANUARY":1550M$="FEBRUARY":1550M$="MARCH":1550M$="APRIL":1550M$="MAY":1550M$="JUNE":1550M$="JULY":1550M$="AUGUST":1550M$="SEPTEMBER":1550M$="OCTOBER":15=0::"79C";"CONTINUE...?":'(<>89<>121<>78<>11013202=78=11010<9F=23:=0::"79C";"PRESS ANY KEY TO HALT LISTING":P2,280,2 Z1310dn"x ..... "DATE.TIME.LINE" ....M=Ҡ,4,2))BM1430,1440,B$(I),16,B)#5,".PRINTER" $ž#4120 .#4;a$ 8#5;a$ B1070LV:=24:=0::#X=1100: TEXT SLOW-DOWN LOOPX810 Halt Subroutine::=23:=0::"79C";"PRESS ANY KEY TO HALT LISTING.": 1300(=23: kLK``9(89:9g:h:h L89:mm95:6:6hg gh h 99 O S   L `ee m`iɂ`0`)``.`5`=`C`E` `BGRAF (C) APPLE 1980j @@@@ @```=+SOSWRITE@.!RWBUF  83& INITCHK uITCHK GRAFIXON GRAFIXONWBUFLEN UFLEN SOSWRITESWRITERWBUF zBUF GPGSREQDLGRAFIXMO GRAFIXMORBUFLEN 9RANGECHKwWBUFLEN ASOSWRITERWBUF \SOSREAD GBASADR TSOSSMARK$INITCHK ITCHK INITGRAF INITGRAFWBUFLEN RETADDR ISOSDSTATGSCB kSOSOPEN INITCHK READPARM5CREFNUM DWBUFADR ?BMOVCHK RBUFADR 7WRITEPAR=SREFNUM FRREFNUM 6WREFNUM >INITFLG KSOSCLOSEhhhhhh HHHH`&$<D^Z FpHx  )) y xHHHJJiH 詏 鮀 `}wqnkjba_\[ZYXWVURQ$hhhhhh HH H)HHH`20+*)Hhhhhhh HHHH`&$< 詏 )x `a^]NMJGF>=<10/.+* )) y xHHHJJiH 詏 鮀hhhh  HH`420.,*)&#"! Rhhhhhh    HH`DB@><:983.+('&$h J)` `!0 nljhfdcbQNMLJFEDCBA<;6hhhhhh  HH`420.,*)&#"! Rhhhhhh    HH`DB@><:983.+('&$hhh-&#  P  `"hhhhhh  HH`420.,*)&#"! Rhhhhhh  B B HH`yyP`GB HH`)r` @A>~|zxvtslgbWTSRPMED=hhhh   HH`420.-&#  Phhhh   HH`420.h   HH`420.-&#  Phhhhhhhhhh  HH`DB@><:86421.+*)'jhhhhhhhh    X XLJFE>987410/-   `+(%" Bhhh h h h hh hhhhhh  HH`ZXVTRPNLJHFDB@<;85431hhh    `OLIHEDCB?<;8541.+*x  `"hhhhhhhh    HH`XVTRPN.GRAFIX jj# \\JHFD=;9210-,+*)!   v Q RETADDR INITCHK ITCHK RANGECHKECHKWBUFLEN UFLEN SOSWRITESWRITERWBUF  NEWFONT NEWFONT INITCHK #ITCHK WBUFLEN DUFLEN SOSWRITEGSWRITERWBUF ?:72-(SYSFONT SYSFONT RETADDR njDRAWIMAG DRAWIMAGINITCHK ITCHK WBUFLEN GBASADR ( ASADR SOSDSTAT~ SDSTATGSCB  INITCHK { ITCHK CREFNUM  EFNUM RBUFADR  ADR SREFNUM  EFNUM RREFNUM  M WBUFADR   ADR GSAVE GSAVE WREFNUM F  M GPGSREQD5 GSREQDSOSCLOSE> SCLOSEWBUFLEN 8  LEN SOSWRITE; SWRITERWBUF C F INITCHK  ITCHK BMOVCHK  OVCHK INITFLG  ITFLG RWBUF  F SOSDSTAT" SDSTATGSCB % CB INITCHK  ITCHK CREFNUM  EFNUM  T P SOSDSTATj SDSTATGSCB LINEREL LINEREL INITCHK g ITCHK WBUFLEN  UFLEN SOSWRITE SWRITERWBUF } d ` \ X RELEASE RELEASE  RETADDR % ! INITCHK  ITCHK LINETO LINETO WBUFLEN  UFLEN SOSWRITE SWRITERWBUF     CALCABS x q ABS RETADDR CALCABS  ABS RETADDR  SOSDSTAT SDSTATGSCB INITCHK  ITCHK DOTREL DOTREL WBUFLEN  UFLEN SOSWRITE SWRITERWBUF SWRITERWBUF  RETADDR c _ < 8 INITCHK O ITCHK WBUFLEN Y UFLEN SOSWRITE\ SWRITERWBUF T L H D @ DOTAT DOTAT RWBUF ZRNJFCALCABS BRETADDR SOSDSTATSDSTATGSCB  MOVEREL MOVEREL INITCHK ITCHK WBUFLEN UFLEN SOSWRITEWBUFLEN !UFLEN SOSWRITE$SWRITERWBUF BUF RETADDR ieB>INITCHK UITCHK MOVETO MOVETO  WBUFLEN _UFLEN SOSWRITEbSWRITERETADDR INITCHK ITCHK RANGECHKNGECHKWBUFLEN UFLEN SOSWRITESWRITERWBUF  INITCHK ITCHK FILLPORT FILLPORT RETADDR tpINITCHK ITCHK PENCOLOR PENCOLOR RANGECHKNGECHKWBUFLEN UFLEN SOSWRITESWRITERWBUF |x FILLCOLO FILLCOLO TRETADDR  SETCTAB SETCTAB  INITCHK ITCHK RANGECHKHKWBUFLEN UFLEN SOSWRITESWRITERWBUF  'SOSWRITESWRITERWBUF  RETADDR PLINITCHK sITCHK VIEWPORT VIEWPORTWBUFLEN }UFLEN SOSWRITESWRITERWBUF  xplhd`\XUFLEN SOSWRITESWRITERWBUF ~zvrRETADDR $ INITCHK ITCHK XFROPTIO XFROPTIORANGECHKNGECHKWBUFLEN UFLEN GPGSREQD GSREQDSOSCLOSE SCLOSEGRAFIXMO AFIXMOGLOAD GLOAD RBUFLEN  N RWBUF    SOSREAD  EAD GBASADR  ASADR SOSSMARK SSMARKRETADDR  z v INITCHK  ITCHK XYCOLOR XYCOLOR RWBUF  F SOSREAD  SREAD RETADDR  SOSDSTAT@?p~x???xp@|0|y?@L6L2Ly|wG|?;g||w~@ @3fI3fM3~x??px@3fI3fM3~`O@?0pfx?|C~0fp~rp?@L6L2Ly`OfL&L2L3l3d3fY3fI3fM3f`xx@~p?x@`?p|L6L2L@?0p~~@p@L6L2L`?<faC~||~@<3|gb`gY3fM3fLfgL'xF?}La~sf1&L2L3fL&L6L2L3l3f3fY3fM3fL~~0~M33!3O?@|3fY3fI3fM3fLfLfL&L2L3fpgL@`yw_}3~?y&L2L3f`yp_!8ysgY3fM3fL~O{&L2L333fgY3fM3fL@_7a~xa||ggY3fM3fLfgOLp~`?x@|`?|@|?|q&L2L3f~`<@ps@><gL|?C@0 `C Cfg~0fM3L~>pa<@|~3@fps|Gx!~p?gY3fM3fLf`~sG\|!~?9gY3fM3fL~OggY3fM3fLfgsL|`~p|`x@&L2L3C_wa~~`||&L2L3fgOLp``|gb`gY3fM3fL<pCg@><3|??xCO|f0yCyLC~p~Msf3`s@|f~gL@ps|Gx!~p?&L2L3x`~sG\|!~?9&L2L3~O&L2L3s3 F0 a ``1 `fgY3fM3fL3fY3fI3fM3fLfLfL&L2L3?~A|?~||ggY3fM3fL3@|&L2L3f<pCg@><gL|xC~pyCyLCfgx@L~O|p3@fgY3fM3fLf`~qwG_}!~?8gY3fM3fL~O|&L2L3x<p3pxC~qcC|?~r0|g~wgY3fM3fLx`<@p@<3|?~p?x@~`~p l7&L2L3f@gL|`p`&L2L3@@7a@xa | File Already Exists. Delete old one? 8OGS S hj hjhhGhDD` `sm**tm++*(+)HL3`HhL&L~ffff`~xy~~xya`fx~ffff`f~`~ay~faf~fa`xaafa~ffff```~`x~``~`x`9wG@-88s&L2L3@?`fpp|G!8psgL~|fgY3fM3fL3g?xC3|la~?~?fgY3fM3fL?G?x||ggY3fM3fLf~|pgLpxCf1 cC|~r0|~x&L2L3fgL?fgxL!3@s?@|gL&L6L2L3l3f3fY3fM3fL3f`yw_}3~?ygY3fM3fL`yp_!8ys3~ODB.)  |xvtpgfd_]PLIHGFEC<;:98631.-+('&%$#"!  ` g|utL) OŁL/8  <  < ! < L` LP `  {`d` }؈H) 0hJJJJ) 0`0.`.`.`0LZHhh `k.CONSOLE  {No Directory} ! ADDRESS A;ESS DEVNUM2 QVNUM2 SAVESCRE SAVESCREADDRESS DEVNUM2 RESTORES RESTORES CONOPEN FNOPEN CDEVNUM IEVNUM FILECOPY FILECOPYWDEVNUM OEVNUM CRLF ]LF DISKS DISKS CONOPEN CDEVNUM gWDEVNUM |CRLF (C) Copyright Apple Computer, Inc., 1981, 1982=8 ~}{zxwsrmljaYXLLIFFQ./!,+`".CONSOLE.*('&!A=/L`)('$#!     * * | | * * | | * * (PREV) 0 -1 (PREV) * * ter unless I have an assembler program which translates assembly-language into code, but I can write a program in BASIC. Finally, speed is a relative concept. My Ford EXP is no grand prix racer, but it's fast enough for me--much faster than the Chevyds. ("Lightning Sort"; Russ Gaspard. Compute! , September, 1984). But Gaspard never explained how it works. If something goes wrong or if I want to modify it, how do I fix it? In addition, I can't write an assembly-language program on my compu their commands must first be interpreted into assembly language and because most of them can refer to memory addresses only indirectly, through variables. I recently read of an assembly-language sorter that will process 1,000 entries in less than 3 secon word list, using these concepts of entering and printing, and you'll get a good idea of how a binary tree works. Efficiency of the Tree Sort Compared to assembly-language programs, BASIC programs are always very slow, fored the nodes to the left of the median, we now look, in the same way, at those branches to the right of the median. When the program winds up at a node which has a MORE of 0 and a PREV of -1, the printout is complete. Try drawing a tree with your ownOF THAT BRANCH. The PREV pointer of "april's" node (2) is 0, so we set the PREV pointer of node 4 to 0. And that's also why the PREV pointer in node 1 points to -1, for the top of its branch is node 0, which points to -1. Since we've already printight" over and over. Instead, we want to print "mm," (node 0), the node indicated by "april's" PREV pointer. And this is a general rule: THE PREV POINTER OF A NODE IN A RIGHT-HAND BRANCH IS ALWAYS THE SAME AS THE PREV POINTER OF THE NODE AT THE TOP o 0, the program must find the next word greater than "april." And here's the reason for node 4's PREV pointer: If PREV pointed to "april," the program would print "april" again and would go back to "might" in an infinite loop, printing "april" and "mprogram moves to node 4 ("might") and then checks to see if anything is less than node 4. Since node 4's LESS pointer is 0, it prints word 4 and then checks to see if anything is greater than "might" and less than "mm." Since node 4's MORE pointer is alshe tree by following LESS pointers as far as it can. It finds "april" (node 2) and prints it. Node 2's PREV pointer points to node 0 ("mm"), but the MORE node points to another branch which is greater than "april" and less than "mm." Therefore, the * ***************************************************** To print the tree, the program starts at the median (node 0) and finds the least node in t * * * (node 4) might showers (node 3) * * * * (L) 0 (M) 0 0 (L) 0 (M) | | * * | | * * | | * * (PREV) 0 1 (PREV) * * * (node 2) april though (node 1) * * * * (L) 0 4 (M) (L) 3 0 (M) * * truck I used to drive. I think of this tree sort in the same way, comparing it with other BASIC sorters. The simplest bubble sort of 500 entries requires 124,750 comparisons. I didn't want to take the time to time it. I assume it would take longer