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PRESS SPACEBAR TO TOGGLE SCREEN46 #( DESIRED FILENAME?:'667@,.>!( HORIZONTAL CENTE}R=!H( VERTICAL CENTER=R( WIDTH OF SCREEN=\#( MAXIMUM INTERATIONS=#f( BAND WIDTH}p_6-&+'@,#6-'A+6-$=6-+&@,$_6-%'@$+A'A,z<+@%@/0@}9@<$ˠؠś2@2@@D1:*.*--(%_________}____ˠ______________@(7@,4S Ap@($7@,0S A}0.3(0(%_____________________________________3$LΠŠśV+@+@@`}cAP@*ARF:@,?ASF:@,QAVcAW@0j-6-?:C:hhhLV,<@},*@-$ΠĠś<  ()(ENTER FILENAME TO LOAD:-<67@,.W+@%@/}0@:@W@@cASF:@,-ARF:@,?AW@0}QAVcAP@06-?:C:hhhLV,<@,*@0$ 6-F:,**$ AP} "$ŠΠίƛ!F:,"@4!$(@4$xŠӛ'}6-AY6-Ad'6-@336-AU6-'6-@736-@,6-@b6-@)6-&@},$ D:MANDELBR.OTRESCUE FROM THE PLANET MANDELBROT By Douglas Skrecky********************************* Interplanetary intrigue has a nas}ty way of involving innocents. This time the victum was the daughter of the Chairman of Systemwide Ataricorp. Kidnapped right} from the executive suite they say. The Chairman refused to sign a deal with Instellar Beer & Mug and somebody must have thou}ght putting his daughter on ice would grease the deal. That's were we come in. The chairman says get her back and we get her }back. Long range reccon probes have traced the fair damsel to the planet Mandelbrot. She has a personal transputer so all we }have to do is home in on the signal, zap the baddies and lift her off planet. Word is she is near Mandelbrot sea. Area is pre}tty mountainous so make sure you keep the navigation computer cranked-up. Any questions? Now about that navigation comput}er..... Most programs exploring the Mandelbrot Set are so slow as to be in danger of breaking speed records for shear sluggis}hness. What can be done to speed things up? Mainframe computers have 64 bit busses, floating point coprocessors and CPUs requ}iring a room full of air conditioning equipment. Their main memory uses special high speed 'hot-rod' ram chips which have the}se little gold cooling towers perched on 'em to prove they ain't cheap. Last time the case was cracked open my Atari 800XL di}d not appear to have gold cooling towers on its ram chips. Perhaps this is not too surprising considering what one of those l}ittle guys cost. With the price of an upgrade being over a cool million it behooves one to think of more cost effective means} for turbocharging a Mandlebrot program. We can use the Turbobasic compiler to speed things up a fair bit. Switching off }the screen display and line packing the main computation loop at the begining of the program will help a little as well. What} else can be done? We can cheat! Instead of calculating all the points on the screen we can check to see if a few points bord}ering a small region are the same color and paint the entire region this same color if all the check points match. Only if th}e calculated points don't match do we have to calculate points inside the region. Using such an algorithm high resolution gra}phics 8 pictures can be generated in under an hour. When the program boots it will read and display the names of files fo}und on the disk. Hit the "L" key to Load & Look at a picture. Hit the "C" key to Create a new picture. While a picture is bei}ng created hit the spacebar to toggle the screen off for greater speed or back on so you can see the pattern. You may have to} wait a bit for this as the program checks the keyboard only after it has plotted across the screen so as to avoid slowing do}wn the number crunching. Hitting the "S" key will save the picture to disk under a filename you specify. Tapping the "M" key }will return you to the main Menu. To create a picture showing the entire Mandelbrot set the horizontal and vertical cente}rs to 0 and then set the screen width to 4. This will display everything between -2 and +2 horizonally and as much of -2 to +}2 vertically as the screen will hold. Next specify the maximum number of iterations you are willing spend at each point. High}er numbers will reveal more detail near the Mandelbrot set. Setting the maximum number of iterations to 100 will usually give} you all the detail you need. Only high magnifications (small screen size) will benefit from more iterations. Finally set the} bandwidth to 4. This will reveal up to 100/4 or 25 bands per screen if 100 iterations are specified. High magnifications wil}l use either a bandwidth of 1 or 2 to reveal as much detail as possible, while low magnifications may look better using 4 to }10. Higher bandwidth increases the speed of the program since more small regions will be plotted the same color. 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