On Tue, Mar 2, 2010 at 5:28 PM, Dr. David Kirkby
<david.kir...@onetel.net> wrote:
> William Stein wrote:
>>
>> Hi,
>>
>> A student of mine is going to add to sage the capability of plotting
>> lots and lots of fractals easily.  E.g.,
>>
>>   sage: fractals.[tab]
>>   lots of stuff
>>
>>   sage: fractals.julia([params]).show(figsize=10)
>>   [up pops a julia set]
>>
>> The trac ticket where this starts is here:
>> http://trac.sagemath.org/sage_trac/ticket/8423
>>
>> This isn't going to be some complicated fancy object oriented
>> abstract dynamical metaclassed framework.  It's just a bunch of
>> functions to draw fractals.  And at first it could even be slow
>> (though obviously some cython master will probably clear through it at
>> some point and make everything really fast, without having to change
>> or write any docs).  I can imagine that most of the files will consist
>> of examples and docstrings rather than actual code, too.
>>
>> The point of this email: if you like plotting fractals, and have some
>> potentially useful code to contribute, then please post to this thread
>> or http://trac.sagemath.org/sage_trac/ticket/8423 with them.    Or if
>> you really want to help, then do so.
>>
>>  -- William
>>
>
> Those sorts of images could be good for your calender.
>
> I recall many years ago programming the 80387 maths coprocessor chip at the
> assembly level to generate the fastest Mandlebrot set I could. If I recall
> correctly, it ran at 25 MHz, which I think was the fastest any 80386/80376
> chip run at.

So how long did it take to calculate the 256x265 pixels mandelbrot
set? I remember it took couple hours for me (I wrote it in Pascal...).

>
> There is the open-source 'fractint' program which does the same sort of
> thing, but in integer maths, which is obviously quicker, though the floating
> point processors now are a lot better than they used to be. I recall
> computing tables of sin() and cos() for Monte Carlo simulations, then using
> a lookup rather than compute the sines and cosines each time, as it was too
> slow. Now, you are better to just call sin or cos in an FPU, rather than
> look them up in a table.

Right.

Ondrej

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