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Article #1176How much precision does Mandelbrot need
From: Bill Stewart 201-949-0705 erebus...
Date: Fri, 02 Mar 1990 19:44
Date: Fri, 02 Mar 1990 19:44
21 lines
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1558 bytes
How much precision does it take to calculate Mandelbrot sets correctly? Do I need to use infinite-precision fractions, or is single-precision or double-precision floating point enough? Is it worth doing fixed-point with scaled integers, since the numbers never get very big? Since Mandelbrot sets depend very strongly on initial conditions, it would seem that loss of precision would quasi-randomly cause different results near any boundaries. Is this the case? The choices I have for computing equipment are basically an 8-MIPS 3B2 with decent IEEE floating point, or to use my AT&T 630 terminal (<1 MIPS 68010, but its CPU isn't all that busy most of the time.) If I really need DP, I'll do it down on the 3B, but it would be a nice hack to have a Mandelbrot tool in my terminal. Thanks; Bill -- # Bill Stewart AT&T Bell Labs 4M312 Holmdel NJ 201-949-0705 erebus.att.com!wcs # Fax 949-4876. Sometimes found at Somerset 201-271-4712 # He put on the goggles, waved his data glove, and walked off into cyberspace. # Wasn't seen again for days.
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Path: arc1-ca.pugleaf.net!utzoo!utgpu!watserv1!watmath!att!cbnewsh!wcs From: wcs@cbnewsh.ATT.COM (Bill Stewart 201-949-0705 erebus.att.com!wcs) Newsgroups: sci.math.num-analysis,sci.math,comp.graphics,comp.terminals.tty5620,comp.theory Subject: How much precision does Mandelbrot need Message-ID: <8602@cbnewsh.ATT.COM> Date: 2 Mar 90 19:44:23 GMT Reply-To: wcs@cbnewsh.ATT.COM (Bill Stewart 201-949-0705 erebus.att.com!wcs) Organization: Bell Labs Random Organization Name Generator Lines: 21