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mandeltext2

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.

Tape/disk: Home » Personal collection » Commodore disks » disk43a_sound_system.d64
Filename: mandeltext2
Read OK:
File size: 0D48 bytes
Load address: 8000
Exec address: 0000
File contents
"���������� ��� ���� ��� ��������
"
"�ROGRAMMING AND TEXT BY �OMINIC �ORD.
"
"     �HE �ANDELBROT AND THE �ULIA
"SETS ARE TWO FRACTAL IMAGES, OR
"IMAGES THAT CAN BE ZOOMED INTO
"INFINITELY MUCH WITHOUT DETAIL BEING
"LOST, THAT ARE CALCULATED USING
"MATHEMATICAL FORMULAE INVOLVING
"COMPLEX NUMBERS. �HEN THEY WERE
"ORIGINALLY DISCOVERED THEY WERE
"THOUGHT OF ONLY AS OF MATHEMATICAL
"INTEREST, YET IN RECENT YEARS THEY
"HAVE BECOME POPULAR NOT JUST WITH
"MATHEMATICIANS, BUT ALSO WITH THE
"REST OF THE POPULATION. �HE STUNNING
"GRAPHICS WHICH ARE PRODUCED BY
"FRACTAL PLOTTERS HAS LEAD TO PLOTTERS
"BEING WRITTEN FOR ALMOST EVERY
"COMPUTER FORMAT THAT EXISTS. �N THE
"�64/128 FORMAT, HOWEVER, MOST OF THE
"PLOTTERS WERE SIMPLY PROGRAMS WRITTEN
"IN ����, AND WERE CONSEQUENTLY VERY
"SLOW, AND DIFFICULT TO USE.
"     �ANDELPLOT DIFFERS FROM MOST OF
"THESE PLOTTERS IN THAT IT IS WRITTEN
"IN 100% MACHINE LANGUAGE, AND IS
"THEREFORE FAR FASTER AND MORE
"EFFICIENT. �ESPITE THE FACT THAT IT
"IS WRITTEN IN FAST MACHINE LANGUAGE,
"AND IS MANY TIMES FASTER THAN ITS
"���� EQUIVELENTS, IT IS STILL A SLOW
"PROGRAM COMPARED TO MOST OF THOSE ON
"LARGER COMPUTERS, AND OFTEN TAKES
"OVER AN HOUR TO COMPLETE A PLOT. �
"HAVE TRIED TO OVERCOME THIS PROBLEM
"BY USING A PLOTTING SYSTEM WHICH
"PLOTS A VERY LOW RESOLUTION IMAGE
"FIRST OF ALL, AND THEN SLOWLY
"INCREASING THE RESOLUTION. �SING THIS
"SYSTEM THE USER CAN BEGIN TO SEE THE
"ROUGH OUTLINE OF THE IMAGE VERY
"QUICKLY, AND THEN ZOOM IN FURTHER
"BEFORE THE PLOT HAS FINISHED.
"     � HAVE MADE THE SYSTEM AS
"USER-FRIENDLY AS POSSIBLE BY MAKING
"THE PROGRAM CONTROLLED ALMOST
"ENTIRELY BY A MOUSE POINTER WHICH MAY
"BE MOVED AROUND USING A
"MOUSE/JOYSTICK PLUGGED INTO PORT ��,
"OR USING THE FOLLOWING KEYS:
"
"      �   � - �EFT
"      �   � - �IGHT
"      �   ; - �P
"      �   / - �OWN
"     ������ - �LICK
"
"     �HE PROGRAM HAS BEEN DESIGNED SO
"THAT ZOOMS MAY BE PERFORMED NOT BY
"ENTERING THE CO-ORDINATES OF THE AREA
"TO ZOOM, BUT BY BOXING OUT THE AREA
"TO ZOOM ON THE SCREEN. � HAVE ALSO
"INCLUDED INSTRUCTIONS WITHIN THE
"PROGRAM SO THAT WHILE YOU ARE USING
"THE PROGRAM YOU CAN EASILY GET HELP
"WITHOUT HAVING TO FIND THESE
"INSTRUCTIONS. �O READ THESE HELP
"PAGES SIMPLY MOVE THE MOUSE POINTER
"DOWN TO THE BOTTOM LEFT CORNER OF THE
"SCREEN, AND CLICK ON THE '����'
"BUTTON.
"     �HE �ANDELBROT SET IS ONE SINGLE
"FRACTAL IMAGE, WHICH IS THE IMAGE YOU
"SEE WHEN YOU FIRST RUN �ANDELPLOT.
"�ULIA SETS DIFFER FROM �ANDELBROT
"SETS IN THAT THERE ARE INFINITELY
"MANY OF THEM, AS THERE IS ONE �ULIA
"SET FOR EVERY POINT IN THE �ANDELBROT
"SET. �HE APPEARENCE OF THIS �ULIA SET
"DEPENDS UPON WHERE THE CORRESPONDING
"POINT IN THE �ANDELBROT SET IS. �ULIA
"SETS WHICH CORRESPOND TO POINTS
"AROUND THE OUTSIDE OF THE �ANDELBROT
"SET, FOR EXAMPLE, ARE SIMPLE, WHEREAS
"�ULIA SETS WHICH CORRESPOND TO POINTS
"AROUND THE EDGE OF THE �ANDELBROT
"LAKE (CENTRAL AREA) ARE FAR MARE
"COMPLICATED AND INTERESTING.
"     �ULIA SETS MAY BE PLOTTED BY
"�ANDELPLOT IF AN AREA OF THE
"�ANDELBROT SET IS BOXED OUT, AND THEN
"THE '�ULIA �ET' BUTTON IS SELECTED.
"�HE �ULIA SET WHICH CORRESPONDS TO
"THE POINT AT THE TOP-LEFT OF THE BOX
"WILL THEN BE PLOTTED, AND MAY BE
"ZOOMED INTO JUST LIKE THE �ANDELBROT
"SET ITSELF. �F '�ULIA �ET' IS
"SELECTED AGAIN, YOU RETURN TO THE
"�ANDELBROT SET WHERE YOU LEFT IT, AND
"MAY ZOOM IN, OR PLOT ANOTHER �ULIA
"�ET.
"
"........... ... ..... ... ..........M"M".rogramming and text by .ominic .ord.M"M"     .he .andelbrot and the .uliaM"sets are two fractal images, orM"images that can be zoomed intoM"infinitely much without detail beingM"lost, that are calculated usingM"mathematical formulae involvingM"complex numbers. .hen they wereM"originally discovered they wereM"thought of only as of mathematicalM"interest, yet in recent years theyM"have become popular not just withM"mathematicians, but also with theM"rest of the population. .he stunningM"graphics which are produced byM"fractal plotters has lead to plottersM"being written for almost everyM"computer format that exists. .n theM".64/128 format, however, most of theM"plotters were simply programs writtenM"in ....., and were consequently veryM"slow, and difficult to use.M"     .andelplot differs from most ofM"these plotters in that it is writtenM"in 100% machine language, and isM"therefore far faster and moreM"efficient. .espite the fact that itM"is written in fast machine language,M"and is many times faster than itsM"..... equivelents, it is still a slowM"program compared to most of those onM"larger computers, and often takesM"over an hour to complete a plot. .M"have tried to overcome this problemM"by using a plotting system whichM"plots a very low resolution imageM"first of all, and then slowlyM"increasing the resolution. .sing thisM"system the user can begin to see theM"rough outline of the image veryM"quickly, and then zoom in furtherM"before the plot has finished.M"     . have made the system asM"user-friendly as possible by makingM"the program controlled almostM"entirely by a mouse pointer which mayM"be moved around using aM"mouse/joystick plugged into port ..,M"or using the following keys:M"M"      .   . - .eftM"      .   . - .ightM"      .   ; - .pM"      .   / - .ownM"     ...... - .lickM"M"     .he program has been designed soM"that zooms may be performed not byM"entering the co-ordinates of the areaM"to zoom, but by boxing out the areaM"to zoom on the screen. . have alsoM"included instructions within theM"program so that while you are usingM"the program you can easily get helpM"without having to find theseM"instructions. .o read these helpM"pages simply move the mouse pointerM"down to the bottom left corner of theM"screen, and click on the '....'M"button.M"     .he .andelbrot set is one singleM"fractal image, which is the image youM"see when you first run .andelplot.M".ulia sets differ from .andelbrotM"sets in that there are infinitelyM"many of them, as there is one .uliaM"set for every point in the .andelbrotM"set. .he appearence of this .ulia setM"depends upon where the correspondingM"point in the .andelbrot set is. .uliaM"sets which correspond to pointsM"around the outside of the .andelbrotM"set, for example, are simple, whereasM".ulia sets which correspond to pointsM"around the edge of the .andelbrotM"lake (central area) are far mareM"complicated and interesting.M"     .ulia sets may be plotted byM".andelplot if an area of theM".andelbrot set is boxed out, and thenM"the '.ulia .et' button is selected.M".he .ulia set which corresponds toM"the point at the top-left of the boxM"will then be plotted, and may beM"zoomed into just like the .andelbrotM"set itself. .f '.ulia .et' isM"selected again, you return to theM".andelbrot set where you left it, andM"may zoom in, or plot another .uliaM".et.M"M
00000000  22 a0 cd c1 ce c4 c5 cc  c2 d2 cf d4 20 c1 ce c4  |"........... ...|
00000010  20 ca d5 cc c9 c1 20 d3  c5 d4 20 c3 c1 cc c3 d5  | ..... ... .....|
00000020  cc c1 d4 cf d2 0d 22 0d  22 d0 52 4f 47 52 41 4d  |......".".ROGRAM|
00000030  4d 49 4e 47 20 41 4e 44  20 54 45 58 54 20 42 59  |MING AND TEXT BY|
00000040  20 c4 4f 4d 49 4e 49 43  20 c6 4f 52 44 2e 0d 22  | .OMINIC .ORD.."|
00000050  0d 22 20 20 20 20 20 d4  48 45 20 cd 41 4e 44 45  |."     .HE .ANDE|
00000060  4c 42 52 4f 54 20 41 4e  44 20 54 48 45 20 ca 55  |LBROT AND THE .U|
00000070  4c 49 41 0d 22 53 45 54  53 20 41 52 45 20 54 57  |LIA."SETS ARE TW|
00000080  4f 20 46 52 41 43 54 41  4c 20 49 4d 41 47 45 53  |O FRACTAL IMAGES|
00000090  2c 20 4f 52 0d 22 49 4d  41 47 45 53 20 54 48 41  |, OR."IMAGES THA|
000000a0  54 20 43 41 4e 20 42 45  20 5a 4f 4f 4d 45 44 20  |T CAN BE ZOOMED |
000000b0  49 4e 54 4f 0d 22 49 4e  46 49 4e 49 54 45 4c 59  |INTO."INFINITELY|
000000c0  20 4d 55 43 48 20 57 49  54 48 4f 55 54 20 44 45  | MUCH WITHOUT DE|
000000d0  54 41 49 4c 20 42 45 49  4e 47 0d 22 4c 4f 53 54  |TAIL BEING."LOST|
000000e0  2c 20 54 48 41 54 20 41  52 45 20 43 41 4c 43 55  |, THAT ARE CALCU|
000000f0  4c 41 54 45 44 20 55 53  49 4e 47 0d 22 4d 41 54  |LATED USING."MAT|
00000100  48 45 4d 41 54 49 43 41  4c 20 46 4f 52 4d 55 4c  |HEMATICAL FORMUL|
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00000160  54 48 4f 55 47 48 54 20  4f 46 20 4f 4e 4c 59 20  |THOUGHT OF ONLY |
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000001c0  4a 55 53 54 20 57 49 54  48 0d 22 4d 41 54 48 45  |JUST WITH."MATHE|
000001d0  4d 41 54 49 43 49 41 4e  53 2c 20 42 55 54 20 41  |MATICIANS, BUT A|
000001e0  4c 53 4f 20 57 49 54 48  20 54 48 45 0d 22 52 45  |LSO WITH THE."RE|
000001f0  53 54 20 4f 46 20 54 48  45 20 50 4f 50 55 4c 41  |ST OF THE POPULA|
00000200  54 49 4f 4e 2e 20 d4 48  45 20 53 54 55 4e 4e 49  |TION. .HE STUNNI|
00000210  4e 47 0d 22 47 52 41 50  48 49 43 53 20 57 48 49  |NG."GRAPHICS WHI|
00000220  43 48 20 41 52 45 20 50  52 4f 44 55 43 45 44 20  |CH ARE PRODUCED |
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00000240  54 45 52 53 20 48 41 53  20 4c 45 41 44 20 54 4f  |TERS HAS LEAD TO|
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00000270  4f 53 54 20 45 56 45 52  59 0d 22 43 4f 4d 50 55  |OST EVERY."COMPU|
00000280  54 45 52 20 46 4f 52 4d  41 54 20 54 48 41 54 20  |TER FORMAT THAT |
00000290  45 58 49 53 54 53 2e 20  cf 4e 20 54 48 45 0d 22  |EXISTS. .N THE."|
000002a0  c3 36 34 2f 31 32 38 20  46 4f 52 4d 41 54 2c 20  |.64/128 FORMAT, |
000002b0  48 4f 57 45 56 45 52 2c  20 4d 4f 53 54 20 4f 46  |HOWEVER, MOST OF|
000002c0  20 54 48 45 0d 22 50 4c  4f 54 54 45 52 53 20 57  | THE."PLOTTERS W|
000002d0  45 52 45 20 53 49 4d 50  4c 59 20 50 52 4f 47 52  |ERE SIMPLY PROGR|
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000002f0  c2 c1 d3 c9 c3 2c 20 41  4e 44 20 57 45 52 45 20  |....., AND WERE |
00000300  43 4f 4e 53 45 51 55 45  4e 54 4c 59 20 56 45 52  |CONSEQUENTLY VER|
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00000320  46 49 43 55 4c 54 20 54  4f 20 55 53 45 2e 0d 22  |FICULT TO USE.."|
00000330  20 20 20 20 20 cd 41 4e  44 45 4c 50 4c 4f 54 20  |     .ANDELPLOT |
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00000380  30 30 25 20 4d 41 43 48  49 4e 45 20 4c 41 4e 47  |00% MACHINE LANG|
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00000450  0d 22 50 52 4f 47 52 41  4d 20 43 4f 4d 50 41 52  |."PROGRAM COMPAR|
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00000480  4f 4d 50 55 54 45 52 53  2c 20 41 4e 44 20 4f 46  |OMPUTERS, AND OF|
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00000560  4e 2e 20 d5 53 49 4e 47  20 54 48 49 53 0d 22 53  |N. .SING THIS."S|
00000570  59 53 54 45 4d 20 54 48  45 20 55 53 45 52 20 43  |YSTEM THE USER C|
00000580  41 4e 20 42 45 47 49 4e  20 54 4f 20 53 45 45 20  |AN BEGIN TO SEE |
00000590  54 48 45 0d 22 52 4f 55  47 48 20 4f 55 54 4c 49  |THE."ROUGH OUTLI|
000005a0  4e 45 20 4f 46 20 54 48  45 20 49 4d 41 47 45 20  |NE OF THE IMAGE |
000005b0  56 45 52 59 0d 22 51 55  49 43 4b 4c 59 2c 20 41  |VERY."QUICKLY, A|
000005c0  4e 44 20 54 48 45 4e 20  5a 4f 4f 4d 20 49 4e 20  |ND THEN ZOOM IN |
000005d0  46 55 52 54 48 45 52 0d  22 42 45 46 4f 52 45 20  |FURTHER."BEFORE |
000005e0  54 48 45 20 50 4c 4f 54  20 48 41 53 20 46 49 4e  |THE PLOT HAS FIN|
000005f0  49 53 48 45 44 2e 0d 22  20 20 20 20 20 c9 20 48  |ISHED.."     . H|
00000600  41 56 45 20 4d 41 44 45  20 54 48 45 20 53 59 53  |AVE MADE THE SYS|
00000610  54 45 4d 20 41 53 0d 22  55 53 45 52 2d 46 52 49  |TEM AS."USER-FRI|
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00000640  20 50 52 4f 47 52 41 4d  20 43 4f 4e 54 52 4f 4c  | PROGRAM CONTROL|
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00000750  20 50 52 4f 47 52 41 4d  20 48 41 53 20 42 45 45  | PROGRAM HAS BEE|
00000760  4e 20 44 45 53 49 47 4e  45 44 20 53 4f 0d 22 54  |N DESIGNED SO."T|
00000770  48 41 54 20 5a 4f 4f 4d  53 20 4d 41 59 20 42 45  |HAT ZOOMS MAY BE|
00000780  20 50 45 52 46 4f 52 4d  45 44 20 4e 4f 54 20 42  | PERFORMED NOT B|
00000790  59 0d 22 45 4e 54 45 52  49 4e 47 20 54 48 45 20  |Y."ENTERING THE |
000007a0  43 4f 2d 4f 52 44 49 4e  41 54 45 53 20 4f 46 20  |CO-ORDINATES OF |
000007b0  54 48 45 20 41 52 45 41  0d 22 54 4f 20 5a 4f 4f  |THE AREA."TO ZOO|
000007c0  4d 2c 20 42 55 54 20 42  59 20 42 4f 58 49 4e 47  |M, BUT BY BOXING|
000007d0  20 4f 55 54 20 54 48 45  20 41 52 45 41 0d 22 54  | OUT THE AREA."T|
000007e0  4f 20 5a 4f 4f 4d 20 4f  4e 20 54 48 45 20 53 43  |O ZOOM ON THE SC|
000007f0  52 45 45 4e 2e 20 c9 20  48 41 56 45 20 41 4c 53  |REEN. . HAVE ALS|
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00000830  54 48 41 54 20 57 48 49  4c 45 20 59 4f 55 20 41  |THAT WHILE YOU A|
00000840  52 45 20 55 53 49 4e 47  0d 22 54 48 45 20 50 52  |RE USING."THE PR|
00000850  4f 47 52 41 4d 20 59 4f  55 20 43 41 4e 20 45 41  |OGRAM YOU CAN EA|
00000860  53 49 4c 59 20 47 45 54  20 48 45 4c 50 0d 22 57  |SILY GET HELP."W|
00000870  49 54 48 4f 55 54 20 48  41 56 49 4e 47 20 54 4f  |ITHOUT HAVING TO|
00000880  20 46 49 4e 44 20 54 48  45 53 45 0d 22 49 4e 53  | FIND THESE."INS|
00000890  54 52 55 43 54 49 4f 4e  53 2e 20 d4 4f 20 52 45  |TRUCTIONS. .O RE|
000008a0  41 44 20 54 48 45 53 45  20 48 45 4c 50 0d 22 50  |AD THESE HELP."P|
000008b0  41 47 45 53 20 53 49 4d  50 4c 59 20 4d 4f 56 45  |AGES SIMPLY MOVE|
000008c0  20 54 48 45 20 4d 4f 55  53 45 20 50 4f 49 4e 54  | THE MOUSE POINT|
000008d0  45 52 0d 22 44 4f 57 4e  20 54 4f 20 54 48 45 20  |ER."DOWN TO THE |
000008e0  42 4f 54 54 4f 4d 20 4c  45 46 54 20 43 4f 52 4e  |BOTTOM LEFT CORN|
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00000900  4e 2c 20 41 4e 44 20 43  4c 49 43 4b 20 4f 4e 20  |N, AND CLICK ON |
00000910  54 48 45 20 27 c8 c5 cc  d0 27 0d 22 42 55 54 54  |THE '....'."BUTT|
00000920  4f 4e 2e 0d 22 20 20 20  20 20 d4 48 45 20 cd 41  |ON.."     .HE .A|
00000930  4e 44 45 4c 42 52 4f 54  20 53 45 54 20 49 53 20  |NDELBROT SET IS |
00000940  4f 4e 45 20 53 49 4e 47  4c 45 0d 22 46 52 41 43  |ONE SINGLE."FRAC|
00000950  54 41 4c 20 49 4d 41 47  45 2c 20 57 48 49 43 48  |TAL IMAGE, WHICH|
00000960  20 49 53 20 54 48 45 20  49 4d 41 47 45 20 59 4f  | IS THE IMAGE YO|
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00000d40  22 d3 45 54 2e 0d 22 0d                           |".ET..".|
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