ftp.xmission.com/2014.06.ftp.xmission.com.tar/ftp.xmission.com/pub/lists/fractint/archive/v01.n019

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fractint Digest     Wednesday, September 24 1997     Volume 01 : Number 019



In this issue:

    Re: (fractint) Serious Fractint 19.6 bug!
    Re: (fractint) Serious Fractint 19.6 bug!
    Re: (fractint) Serious Fractint 19.6 bug!
    Re: (fractint) Video Cards
    (fractint) Much older versions of Fractint!
    (fractint) Erroneous URL
    Re: (fractint) Video Cards
    Re: (fractint) Video Cards
    (fractint) (Fwd) BOUNCE [e-mail]:  Admin request: /^subject:
    Re: (fractint) Video Cards
    Re: (fractint) Much older versions of Fractint!
    Re: (fractint) Much older versions of Fractint!
    (fractint) Boundary is partially right!
    Re: (fractint) Video Cards
    (fractint) New coloring scheme
    (fractint) Questions about IFS fractals
    Re: (fractint) Much older versions of Fractint!
    Re: (fractint) Questions about IFS fractals
    (fractint) Smoothing color bands, revisited (not anti-aliasing)

See the end of the digest for information on subscribing to the fractint
or fractint-digest mailing lists and on how to retrieve back issues.

----------------------------------------------------------------------

Date: Mon, 22 Sep 1997 00:12:44 -0400
From: [e-mail] (Francois Blais)
Subject: Re: (fractint) Serious Fractint 19.6 bug!

[e-mail] (Paul Derbyshire) wrote:

>>> I have discovered 2 bugs in Fractint 19.6!
>>> The more serious is as follows: if a 16-color video mode is selected (don't
>>> ask) and passes=b is selected, it draws a few pixels and hangs, forcing a
>>> reboot or a Vulcan Nerve Pinch.
>>> The less serious is that the collection of 2 and 16-color modes at the
>>> start of the video mode-picker in this version all say "256" colors at the
>>> right.

>>I can't duplicate either problem.
>>Your fractint.cfg file is corrupt. Try replacing it with the one in
>>the 19.6 distribution.

>My fractint.cfg file is exactly the one that came with Fractint,
>unmodified. To be exact it is the one from the .zip located at Spanky. Did
>you try the Spanky .zip instead of your development version?

 I also got my archive from Spanky, and here's a screenshot from the
 video mode selection:

                      FRACTINT Version 19.6


                        Select Video Mode

key...name......................xdot.ydot.colr.comment..................
F2    IBM 16-Color EGA           640  350  16  Standard EGA hi-res mode
F3    IBM 256-Color VGA/MCGA     320  200  256 Quick and LOTS of colors
F4    IBM 16-Color VGA           640  480  16  Nice high resolution
F5    IBM 4-Color CGA            320  200   4  (Ugh - Yuck - Bleah)
F6    IBM Hi-Rez B&W CGA         640  200   2  ('Hi-Rez' Ugh - Yuck)
F7    IBM B&W EGA                640  350   2  (Monochrome EGA)
F8    IBM B&W VGA                640  480   2  (Monochrome VGA)
F9    IBM Low-Rez EGA            320  200  16  Quick but chunky
F10   IBM VGA (non-std)          320  400  256 Register Compatibles ONLY
SF1   IBM VGA (non-std)          360  480  256 Register Compatibles ONLY
SF2   SuperVGA/VESA Autodetect   800  600   16 Works with most SuperVGA
SF3   SuperVGA/VESA Autodetect  1024  768   16 Works with most SuperVGA
SF4   SuperVGA/VESA Autodetect   640  400  256 Works with most SuperVGA
SF5   SuperVGA/VESA Autodetect   640  480  256 Works with most SuperVGA
SF6   SuperVGA/VESA Autodetect   800  600  256 Works with most SuperVGA
SF7   SuperVGA/VESA Autodetect  1024  768  256 Works with most SuperVGA
(more)
          Use the cursor keys to highlight your selection
          Press ENTER for highlighted choice, ESCAPE to back out, or
          F1 for help


- --
           La voix de ma contrebasse     *    Quebec City - Canada
                            Thought for the day:
                 "Talk is cheap since supply exceeds demand."

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------------------------------

Date: Mon, 22 Sep 1997 00:31:32 -0400 (EDT)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) Serious Fractint 19.6 bug!

<snip>
Really strange...cause I know for a fact I haven't so much as twiddled a
single bit in fractint.cfg! Could it be a problem specific to certain
video cards? This is running on a Matrox MGA 2 meg.
All this on one of 2 computers I use. The other has a 512K S3 (yeah, I
know, crufty as hell). On that, I just tried the Spanky distrib and got
normal behavior (proper color numbers and no b-trace hang).

My guess is maybe Fractint has some styrange allergy to that Matrox...


- --
    .*.  Where feelings are concerned, answers are rarely simple [GeneDeWeese]
 -()  <  When I go to the theater, I always go straight to the "bag and mix"
    `*'  bulk candy section...because variety is the spice of life... [me]
Paul Derbyshire [e-mail], http://chat.carleton.ca/~pderbysh

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------------------------------

Date: Mon, 22 Sep 1997 03:38:38 -0400
From: Sylvie Gallet <[e-mail]>
Subject: Re: (fractint) Serious Fractint 19.6 bug!

Hi Paul

>> Really strange...cause I know for a fact I haven't so much as twiddled=

>> a single bit in fractint.cfg! Could it be a problem specific to
>> certain video cards? This is running on a Matrox MGA 2 meg.
<snip>
>> My guess is maybe Fractint has some styrange allergy to that
>> Matrox...

  I have no problem with my Matrox Millennium 2 meg.  It supports the
following VESA modes:

- -------------------------------------------------
# QPV/386 / CDPEG configuration file
# created by VESA2CFG on Fri 29-Aug-1997, 11:6:33

VESA BGR      # perhaps RGB instead of BGR
#'VESA local
#"VESA configuration for "Matrox Graphics Inc."
  320  200   16     40 $0d 0
  640  480   16     80 $12 0
  800  600   16    100 $4f02 $0102
  320  200  256    320 $13 0
  640  480  256    640 $4f02 $0101
  800  600  256    960 $4f02 $0103
 1024  768  256   1024 $4f02 $0105
 1280 1024  256   1280 $4f02 $0107
 1600 1200  256   1600 $4f02 $011c
  640  480  32k   1280 $4f02 $0110
  800  600  32k   1920 $4f02 $0113
 1024  768  32k   2048 $4f02 $0116
  640  480  64k   1280 $4f02 $0111
  800  600  64k   1920 $4f02 $0114
 1024  768  64k   2048 $4f02 $0117
  640  480  16m   2560 $4f02 $0112
  800  600  16m   3200 $4f02 $0115
- -------------------------------------------------

        - Sylvie

- ----------------------------------------------------------------------
  [e-mail]
  http://spanky.triumf.ca/www/fractint/sylvie/gallet.html
  http://ourworld.compuserve.com/homepages/Sylvie_Gallet/homepage.htm
- ----------------------------------------------------------------------

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------------------------------

Date: Mon, 22 Sep 1997 12:10:29 -0400
From: [e-mail] (Grasso, Nick)
Subject: Re: (fractint) Video Cards

At 05:48 PM 9/19/97 -0500, Tim <[e-mail]> wrote:

>If you had the oppertunity to get a new video card for drawing fractals,
>what would it be?

Assuming you have a PCI system, I recommend the Matrox Millennium II. They
have lowered the price to about $200 US for the 4Mb card. I have the
original Millennium and am quite happy with it. I run it under DOS, OS/2,
and Windows NT and have had almost no problems. It is fast and handles just
about everything I throw at it. It is also fast for DOS games. Some video
cards are fast under Windows, but are slow under DOS (this does not apply
to fractint however - see below).

>I am also wondering if 3D accelerators can help in drawing any types of
fractals.

To repeat what Damien said: No. First of all, I don't think 3D accelerators
apply to DOS programs at all. Secondly, 99% of the time it takes to create
a fractal is the mathematical computation. The time it takes your video
card to display it on the screen is nothing compared to this. As I
understand it, 3D acceleration is for moving objects around the screen,
i.e., moving 3D objects in an animation or a game, so I don't think this
would help a Windows fractal program (unless it spun the fractal around the
screen <g>).

>Any input would be appreciated as I've decided to upgrade my system
>now.  The Imagine128 doesn't work with the new DirectX drivers for
>windows games anyway...

I've run a few programs that use DirectX and they work OK but I haven't
tried any of the fancy new games. DirectX is build into Windows NT 4.0. You
don't have to install it separately as in Win 95.

Hope this helps.
Nick
[e-mail]


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------------------------------

Date: Mon, 22 Sep 1997 09:36:18 -0700 (PDT)
From: Jon Noring <[e-mail]>
Subject: (fractint) Much older versions of Fractint!

Hello,

For the fun of it, I performed a fairly extensive and exhaustive Web and ftp
search out there in Internetland to see what older versions of Fractint for
DOS are still downloadable (I was only interested in the distributable DOS
executable package -- not the source code).  Here's what I found so far, which
I've downloaded and archived for posterity:

      7.0
      8.1
     12.0
     14.0
     15.1
     16.0
     16.11
     17.01
     17.1
     17.2
     18.0
     18.1
     18.2
     19.0
     19.1
     19.2
     19.3
     19.4
     19.5
     19.6


Version 7.0 is a very old version, and running it certainly gives a good feel
for how far Fractint has come since then!

I would like to complete the collection, so if you have other versions,
especially the older ones (the Holy Grail would be version 1.0 and any pre-
1.0 betas -- Tim, can you give some early history to Fractint and the
versions?), please send them my way.  If there's enough interest, and Tim
doesn't mind, I can place Fractint version 7.0 at my ftp site for download.
And if I get close to a complete collection, I'll consider making it all
available via anonymous ftp for a short time.  We must remember our roots!

Jon Noring

_____________________________________________________________________________
 OmniMedia Digital Publishing | E-Books: http://www.awa.com/library/omnimedia
 9671 S. 1600 West St.        | Digital/Fractal Art: (coming soon!)
 South Jordan, UT 84095       |
 801-253-4037                 | E-mail: [e-mail]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Two great mailing lists:  FRACTAL ART, and ELECTRONIC BOOKS.  To subscribe to
either one, send e-mail to [e-mail] and put the appropriate line in
the body of the message:
     subscribe fractal-art
     subscribe ebook-list



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------------------------------

Date: Mon, 22 Sep 1997 13:16:15 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) Erroneous URL

Hello,

A few days ago I posted a URL for a FractInt .FRM file used to produce the
new images in my gallery.  The URL posted was incorrect.  Here is the
correct one:

    http://www.geocities.com/~fractalus/misc/dmj-pub.zip

The URL for the gallery is in my signature, below.

Damien M. Jones  /  temporary sanity designs  /  http://www.emi.net/~dmj/
   [e-mail]  /  my gallery: http://www.geocities.com/SoHo/Lofts/2605/


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------------------------------

Date: Mon, 22 Sep 1997 16:01:36 -0600
From: "Robert Norton" <[e-mail]>
Subject: Re: (fractint) Video Cards

If you're running a Matrox Millenium card under NT4.0 and having no=
 problems, there are a lot of folks here who would like to know just how=
 you do it.

Given my druthers, I'd much rather be using a Diamond Stealth 2000 or 3000=
 than this buggy, non-compliant VESA-hating Millenium card. 2000's are=
 going as low as $105 with 4 megs on board.

>Assuming you have a PCI system, I recommend the Matrox Millennium II. They
>have lowered the price to about $200 US for the 4Mb card. I have the
>original Millennium and am quite happy with it. I run it under DOS, OS/2,
>and Windows NT and have had almost no problems.
>[e-mail]
"

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------------------------------

Date: Mon, 22 Sep 1997 18:42:04 -0400
From: [e-mail] (Grasso, Nick)
Subject: Re: (fractint) Video Cards

At 04:01 PM 9/22/97 -0600,  "Robert Norton" <[e-mail]> wrote:
> If you're running a Matrox Millenium card under NT4.0 and having no
problems,
> there are a lot of folks here who would like to know just how you do it.
>
> Given my druthers, I'd much rather be using a Diamond Stealth 2000 or
3000 than this
> buggy, non-compliant VESA-hating Millenium card. 2000's are going as low
as $105 with
> 4 megs on board.

Hi Robert,

What kind of problems are you having?  Are you are referring to the recent
thread about fractint and other DOS VESA programs not running under NT? It
appears that this is the fault of NT and not the card. Microsoft states
that NT 4.0 does *not* support VESA in a DOS session. All the VESA modes
work fine in a DOS session under OS/2, so I would tend not to blame the
card. I have had no other problems under NT. However, their tech support
leaves a lot to be desired since they never answered my email.

Nick
[e-mail]


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------------------------------

Date: Mon, 22 Sep 1997 20:33:53 -0600
From: "Tim Wegner" <[e-mail]>
Subject: (fractint) (Fwd) BOUNCE [e-mail]:  Admin request: /^subject:

Date: Mon, 22 Sep 1997 11:40:57 +0200
To: [e-mail]
From: Roelf Renkema <[e-mail]>
Subject: Help:Avance Logic 2301 PCI


I'm still not able to get my fractint up and running. Currently believing
that my videocard/driver might be the problem. Anybody out there, with
experience with the Avance Logic 2301 PCI drivers? Think I need a special
CFG for it. So before I try to build one myself I thought I might ask?

Greetz
- --                                            _/_/|
        grey@nym,alias.net                 (o(o) \
          ' The Wolf '                  OO~~     /
                                        \--__   ,/
    "I like'm sweet and wet"            |/~  `-'


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------------------------------

Date: Mon, 22 Sep 1997 21:29:09 -0500
From: Tim <[e-mail]>
Subject: Re: (fractint) Video Cards

Hey gang

For those who asked, I personally run Win95 on my machine for games and
using Netscape.  I found out that my Imagine 128 only uses 512k in DOS
so that's why I was having difficulty getting any decent resolution.
I've been talking to Number Nine tech support and they referred me to
this Scitech Software program called the Display Doctor 5.3a, but even
this program refuses to do anything for this card.

The Imagine 128 also doesn't support anything higher than DirectX 1.0
and I just bought a game with DirectX5 on it.  So I am definitely
looking into upgrading my system now.  I am hearing good things about
the Millenium II from this list and the Diamond FireGL from some other
friends.  I plan to make a move here very soon, so if you haven't put in
your two cents I am urging you too!

I used to have NT on my system but when I found out how much it hates
Windows games I killed it.  I can also issue a fair warning against
buying Xcar for you racing sim enthusiasts, it is just terrible, save
your money and wait for Need4Speed2 SE which is coming out soon.

Hey I am wondering how can I verify if my system has PCI slots?  What do
they look like?

Again, thanks in advance

Tim Maxwell
Chicago Il


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------------------------------

Date: Tue, 23 Sep 1997 12:19:53 -0400
From: Farrell McGovern <[e-mail]>
Subject: Re: (fractint) Much older versions of Fractint!

Jon Noring wrote:
>
> I would like to complete the collection, so if you have other versions,
> especially the older ones (the Holy Grail would be version 1.0 and any pre-
> 1.0 betas -- Tim, can you give some early history to Fractint and the
> versions?), please send them my way.  If there's enough interest, and Tim
> doesn't mind, I can place Fractint version 7.0 at my ftp site for download.
> And if I get close to a complete collection, I'll consider making it all
> available via anonymous ftp for a short time.  We must remember our roots!

    On one of my disks recently I found a copy of FRACT386...the
original...I packed it, and moved, if you want, remind me in a
month or so, and I will see if I can find it after I unpack.

    Back then, I was techsupport/sales at a computer store in
Toronto, and we sold more ATI VGA Wonder/NEC Multisync because of
the fractals we were displaying...

ttyl
     Farrell

- --
Farrell McGovern, AISB
[e-mail]
Security/Sysadmin, Linux Advocate, Privacy Advocate, and a Nice
Guy.
"I speak for myself, and not for Bell Sygma/Emergis/Global
Solutions"

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------------------------------

Date: Tue, 23 Sep 1997 12:58:55 -0400 (EDT)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) Much older versions of Fractint!

Good God man! Don't wait a month! Floppy disks have a habit of quitting
working suddenly and for no reason when they sit unused for a long time. I
sometimes wonder if the Disk Companies don't put little
planned-obsolescence gadgets in them that start ticking down as soon as you
first format or use the disk, and scrog a cluster a week from that point
forth... so you have to keep buying more...

Upload it to someplace on the net...and preserve this treasure of
antiquity...before it's too late! :-)

- --
    .*.  Where feelings are concerned, answers are rarely simple [GeneDeWeese]
 -()  <  When I go to the theater, I always go straight to the "bag and mix"
    `*'  bulk candy section...because variety is the spice of life... [me]
Paul Derbyshire [e-mail], http://chat.carleton.ca/~pderbysh

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Date: Tue, 23 Sep 1997 12:13:49 -0500
From: "Justin A. Kolodziej" <[e-mail]>
Subject: (fractint) Boundary is partially right!

Note:  I tried to send this directly to you, Benno, but the mail got
returned with
some strange error message, which follows:

   ----- The following addresses had delivery problems -----
<[e-mail]>  (unrecoverable error)

   ----- Transcript of session follows -----
553 stachus config error: mail loops back to myself
554 <[e-mail]>... Local configuration error

whatever that means.
Therefore, I'm posting this to the discussion list in case anyone else
has interest/insight.
You did say you get the messages from the list, so you should get this.

> I checked out Mandelbrot's construction, first in Lindenmeyer system
> syntax and then in IFS (much easier if the lsys intitiator is a
> single line, btw).  The resulting fractal was dragon-like, but never
> the border of the dragon curve. Perhaps there's a bug in both of
> them, or perhaps thats why it is not shown in iterated form?
>
> Below there's a Lindenmeyer sytem file (*.l) and the IFS file (which
> gives better results)
>

- --------begin lsys file------------
TwinDragonSkin?? { ; Benno Schmid
                                   ; use order=4*n
  Angle 8
  Axiom F
  F=F++@2F--@I2F
  }
- --------end lsys file------------

- --------begin ifs file------------
TwinDragonSkin?? { ; Benno Schmid
  .25   .25  -.25   .25    0   0    .192287
  .5  -.52   .5   .5    .25  -.25    .6154261
  .25   .25  -.25   .25    .75   .25    .192287
 }
- --------end ifs file------------
Yes, I got the files.  I checked them out, and IMHO, they actually do
resemble
the border of the twindragon curve,  except that the resulting curve is
actually
like one straight segment of the border of the twindragon instead of
being the
entire closed border.  I've tried to manipulate the L-system version to
make
it close, but it is difficult when I don't acually have the picture of
the
original twindragon in front of me. <g>  Anyway, if I can get it to
work, I'll
post it and anyone else who has any interest can check it out for
themselves.
Thanks for your help.

Justin Kolodziej

- -- no cool signature :( --





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------------------------------

Date: Tue, 23 Sep 1997 13:44:26 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Video Cards

Tim,

 - I've been talking to Number Nine tech support and they referred me to
 - this Scitech Software program called the Display Doctor 5.3a, but even
 - this program refuses to do anything for this card.

If SciTech's software won't work with your card, then it's *really*
orphaned. :)  For the record, when we wanted to use the Number Nine GXE
card with Windows 95, Number Nine said they had no plans to write proper
drivers for it, that they were no longer supporting the card.  They offered
us an upgrade "deal", whereby we could send in the GXE and some money and
they'd send us a new card they did support.  Problem was, the upgrade price
was more than we could buy the new card for!  What a rip!  This experience
really soured us on Number Nine.

 - The Imagine 128 also doesn't support anything higher than DirectX 1.0
 - and I just bought a game with DirectX5 on it.  So I am definitely
 - looking into upgrading my system now.  I am hearing good things about
 - the Millenium II from this list and the Diamond FireGL from some other
 - friends.  I plan to make a move here very soon, so if you haven't put in
 - your two cents I am urging you too!

The Millenium isn't really the best optimized 3D card.  It's not going to
be your best performer for games.  I think the Mystique will do better if
you're set on a Matrox card--however, your best bet for *games* is likely
to be, as I said earlier, something with a 3Dfx chip on it.  Diamond
Monster 3D is a $200 add-on card that works with another graphics card to
give you awesome 3D, but I think what you really need is a good all-in-one
card.  A friend of mine recently bought a Hercules Stingray, which he is
*very* happy with.

 - Hey I am wondering how can I verify if my system has PCI slots?  What do
 - they look like?

PCI slots are short (shorter than ISA and much shorter than VESA LocalBus)
and usually white, with very fine pin spacing.

Damien M. Jones  /  temporary sanity designs  /  http://www.emi.net/~dmj/
   [e-mail]  /  my gallery: http://www.geocities.com/SoHo/Lofts/2605/


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------------------------------

Date: Wed, 24 Sep 1997 09:49:22 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: (fractint) New coloring scheme

Here is another coloring scheme that I found interesting.  It is based on
Gaussian integers--complex numbers whose real and imaginary parts are both
integers, like 3+4i.  The method here colors by which Gaussian integer the
iteration comes closest to.  In order to have a lot of iterations to test,
use a high bailout (like 1e012).  To show the results, use "decomp=256"
coloring.

Enclosed are two sample (Fractint) parameter files to demonstrate.  They
both use the same color map and the same section of the same Julia set.
The "plain" par shows the fractal as somewhat boring.  Turn on
decomposition (the "decomp" par) and see the explosion of color.  The
image is full of various sized dots of color.  Consequently, this method
benefits from "passes=1" instead of solid guessing, and it really helps to
anti-alias the final image, to smooth out the smallest dots.  I will post
a version of "decomp" to the fractal binaries newsgroup.

Enjoy!

Kerry Mitchell

- ---------

decomp             {
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=gaussint2_jul passes=1 center-mag=0/1/1
  params=0.3/0/1e012/0 float=y maxiter=256 inside=0 decomp=256
  periodicity=0
colors=000<20>z00<19>zv0zy0zz1<20>zzz<20>0zz<20>00z<19>004001100<20>z00<\
  20>zz0<19>zzwzzzxzz<18>4zz1zz0yz<20>00z<20>000 cyclerange=0/255
  }

plain              {
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=gaussint2_jul center-mag=0/1/1
  params=0.3/0/1e012/0 float=y maxiter=256 inside=0
  periodicity=0
colors=000<20>z00<19>zv0zy0zz1<20>zzz<20>0zz<20>00z<19>004001100<20>z00<\
  20>zz0<19>zzwzzzxzz<18>4zz1zz0yz<20>00z<20>000 cyclerange=0/255
  }

frm:gaussint2_jul {
        ; colors Julia sets by angle of Gaussian integer that iteration
        ; comes closest to
        ; c=p1, bailout=real(p2), try 1e12
        ; use "decomp=256" coloring
        zc=pixel, c=p1, rmax=real(p2), rmin=1, z=zc:
        zc=sqr(zc)+c, zr=round(zc), q=|zc-zr|,
        if (q<rmin)
          rmin=q, z=zr
          end if
        |zc| < rmax
        }

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]
- -------------------------------------------------------------------------------


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------------------------------

Date: Wed, 24 Sep 97 12:45:00 +1
From: "P.Toth Andras" <[e-mail]>
Subject: (fractint) Questions about IFS fractals

Microsoft Mail v3.0 IPM.Microsoft Mail.Note
K|ldo: P.Toth Andras
Cmmzett: Fractint
Targy:  Questions about IFS fractals
Datum: 1997-09-24 12:45
Prioritas:
Rvgzmtett bet9tmpus-kiszlet: 0001
\zenetazonosmts: 50BD305F
Beszilgetisazonosmts: 50BD305F

##############################################################################

Sorry for the lame header again....

 Thank you for your answers about fast mandelbrot calculations.

 This time I have another beginner problem - (probably my maths are not
enough to understand fractal algorithms?? Anyway, I'm just 16, so sorry
about this!)
 My major problem is with generating IFS fractals. In Fractint (and on
several WebSites) I found a a matrix with seven values, but I don't know
what to do with it...
 Probably I should display the moving point just like in Mandelbrot, but
displaying it after every calculation? And what are the starting values...
etc. Questions like this... SO if you have any kind of Pascal/C/C64
assembler :) sources then please let me know the location of them!

 Thank you, and sorry for being so beginner :)

Andras (Hungary)

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------------------------------

Date: Wed, 24 Sep 1997 16:57:10 -0400
From: "Melissa D. Binde" <[e-mail]>
Subject: Re: (fractint) Much older versions of Fractint!

Hey Jon -- I started with version 11.0, so I should still have that sitting
around somewhere.  I'll check tomorrow if I have a chance, but old floppies
have a way of wandering off into the great diskbox in the sky...

- --
Melissa Binde  --  [e-mail]; finger for address, etc.
Outside the Asylum  --  http://www.terindell.com/
Babylon 5 Weekly Column -- http://babylon5.miningco.com
- ------------------------------------------------------------------------------
"A computer lets you make more mistakes faster than any invention in human
history--with the possible exceptions of handguns and tequila."
        -- Mitch Ratcliffe

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------------------------------

Date: Wed, 24 Sep 1997 15:04:46 -0600
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) Questions about IFS fractals

In article <[e-mail]> ,
    "P.Toth Andras" <[e-mail]>  writes:
>  My major problem is with generating IFS fractals. In Fractint (and on
> several WebSites) I found a a matrix with seven values, but I don't know
> what to do with it...

Fractals are simple systems which give rise to complex behavior.  To
make a fractal image, you take a simple computation and repeat it and
the end result is a complex image.  The M-set is a simple iteration of
the equation z' = z^2 + c:

    z0 = 0
    z1 = z0^2 + c = 0^2 + c = c
    z2 = z1^2 + c = c^2 + c
    z3 = z2^2 + c = (c^2 + c)^2 + c
    ...

For an IFS fractal, the equation takes a point in the plane and
performs what's called an "affine transformation" on the point.  Affine
transformations can be translations, rotations, scaling operations or
combinations of all of the above.  An IFS fractal has the additional
constraint that the transformation should be contractive -- that is,
if you took the four corners points of a square and applied the
transformation to the corner points, the resulting polygon would be
"contracted" by the transformation.

Each IFS contains several such affine transformations that are applied
to the points.  A probability is associated with each transformation
to guide the computer in randomly choosing a transformation at each
iteration.

You can write affine transformations as matrix multiplications:

    (x1, y1) = M * (x0, y0) + T

    M => a matrix that accounts for scaling and rotation
    T => a vector that accounts for translation

if we expand out the matrix and vector (any basic linear algebra book
will show you the rules for matrix and vector arithmetic; they are
basically just ways of organizing complex formulas for easier
manipulation), we have:

        | x1 | = | a  b | * | x0 | + | e |
    | y1 |   | c  d |   | y0 |   | f |

which gives the two formulas:

    x1 = a*x0 + b*y0 + e
    y1 = c*x0 + d*y0 + f

The seven numbers in the IFS description are these coefficitions (a-f)
along with the associated probability p.  You might want to look at
the fractint documentation on the spanky web site for comparison with
my explanation: <URL: http://spanky.triumf.ca/www/fractint/ifs_type.html>

I hope this helped out...            -- Rich
- --
  ``Between stimulus and response is the will to choose.''  -- Steven Covey
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
     3D Paint: The Power to Create in 3D;        Rich Thomson
     email me for more info                [e-mail]

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------------------------------

Date: Wed, 24 Sep 1997 14:52:18 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: (fractint) Smoothing color bands, revisited (not anti-aliasing)

Recently, Damien Jones posted his formulas based on Linas Vepstas' smooth
coloring algorithm.  I looked at Damien's work, particularly the
"dmj-mand-smooth" formula, and came up with a few tweaks.  I've included
my alternative to Damien's formula as "smooth_man".

Feel free to dig through the math of the two formulas if you'd like, but
it may be easier to see the differences in the images.  Fire up "dmj1" in
the below par file.  It's a slightly zoomed out Mandelbrot, with the outer
rings shown in blues.  Then, hit "x" and turn the outside coloring from
"iter" to "real".  This engages the smooth-coloring mode, although it's
set to 1 (integer bands) for this image.  True enough, the band spacing is
about what it was before, but there is a slight color shift (blues to reds
in this palette, or about 7-8 color indices).  This is because of a
combination of Damien's iteration counter initialization and the factor of
2 used to multiply the log(log(bailout)).  Since those are both constants,
they don't affect the band spacing.  It's a trivial point generally, but
something to consider if you're precise about your colors.

Then, fire up "smooth1".  It uses my smoothing formula, which is slightly
different in math, and very different in implementation.  The image
generated should be about the same as the first one in "dmj1".  Then, turn
decomp on to 256.  This new images should be exactly the same as the
original, with no color shifts.  (The color "speed" is set to 1 for
integer bands.)

A more significant consideration comes up with zooms.  Look at "dmj2", a
moderate zoom into the cusp region near c=0.25.  When you turn on
smoothing (set outside to real; the color speed is set to 10), something
weird happens.  Most of the image goes away!  The number of iterations
needs to be greatly increased to get the detail back.  This is due to the
clipping nature of outside=real|imag.  If real(z)|imag(z) goes outside of
the range [0,255], then the color is clipped to 0.  I sidestepped this by
using the decomposition coloring instead.  Decomp wraps around instead of
clipping, so the value of z is not a problem.  Look at "smooth2".  The
first image is like the first one of "dmj2".  Then, turn on decomp=256.
The fractal is still there, and the color bands are squeezed in, like they
should be.

These are just minor tweaks, and shouldn't be taken as an attack of
Damien's work.  There are tradeoffs, of course; Damien used "outside=real"
which is much faster than "decomp=256" and also affords the use of xaxis
symmetry.  Also, Damien took the time to better comment his formula and to
add default values for the parameters (neat trick!).  Now, if I could just
figure out the rest of his formulas.  :-)

- ------------

dmj1               {
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=dmj-mand-smooth center-mag=-0.5/0/0.5
  params=0/0/0/0/1/128 float=y maxiter=256 inside=0 periodicity=0
colors=000CGS<4>9Ne<7>eFQbJPZNOOWNCdM7fN1iP<3>5Vc<9>NnZPqYRqY<6>kqS<4>mu\
x<3>zaY<13>T3pQ0rQ4r<13>Wyw<2>GJ1<6>x2N<2>pBmtRWxfE<9>SD1<12>ecO<8>8MY<1\
3>4nK4pJ5mI<10>EHC<4>si5<10>bka<4>0jv<2>TEY<4>coOfwLfuN<13>hUp<4>Fjo<11>\
  9WD9U98T67R29T4<7>ShOVjRZeS<5>x7_<7>ime<8>Wge cyclerange=0/255
  }

smooth1            {
  reset=1960 type=formula formulafile=fractint.frm formulaname=smooth_man
  center-mag=-0.5/0/0.5 params=128/1 float=y maxiter=256 inside=0
  periodicity=0
colors=000CGS<4>9Ne<7>eFQbJPZNOOWNCdM7fN1iP<3>5Vc<9>NnZPqYRqY<6>kqS<4>mu\
x<3>zaY<13>T3pQ0rQ4r<13>Wyw<2>GJ1<6>x2N<2>pBmtRWxfE<9>SD1<12>ecO<8>8MY<1\
4>4pJ<11>EHC<4>si5<10>bka<4>0jv<2>TEY<4>coOfwLfuN<13>hUp<4>Fjo<13>8T67R2\
  9T4<7>ShOVjRZeS<5>x7_<7>ime<8>Wge cyclerange=0/255
  }

dmj2               {
  reset=1960 type=formula formulafile=smooth.par
  formulaname=dmj-mand-smooth
  center-mag=+0.25990713363414080/+0.00160746266390759/95756
  params=0/0/0/0/10/128 float=y maxiter=1000 inside=0 periodicity=0
colors=000<40>x00z00z00<40>zy0zz0zz1<39>zzxzzzzzz<40>1zz0zz0yz<39>02z00z\
  00z<41>000 cyclerange=0/255
  }

smooth2            {
  reset=1960 type=formula formulafile=fractint.frm formulaname=smooth_man
  center-mag=+0.25990713363414080/+0.00160746266390759/95756
  params=128/10 float=y maxiter=1000 inside=0 periodicity=0
colors=000<40>x00z00z00<40>zy0zz0zz1<39>zzxzzzzzz<40>1zz0zz0yz<39>02z00z\
  00z<41>000 cyclerange=0/255
  }

frm:smooth_man { ; Kerry Mitchell
        ; smooth iteration coloring based on Damien Jones'
        ; interpretation of Linas Vepstas' scheme
        ; real(p1) = bailout
        ; imag(p1) = color scaling factor (1 = integer bands)
        ; "decomp=256" coloring
        bailout=real(p1), scale=imag(p1)*pi/128
        ol2 = 1/log(2), fac=log(0.5*log(bailout))
        iter=1, z=0, c=pixel
        :
        iter=iter+1, z=sqr(z)+c
        if(|z|>bailout)
          t=(iter+ol2*(fac-log(log(cabs(z)))))*scale
          z=cos(t)+flip(sin(t))
          iter=-1
        endif
        iter>0
        }

frm:dmj-Mand-Smooth (xaxis) { ; outside = real: smooth iteration coloring
    ; p3r: color scaling factor (default is 1 = integer bands)
    ; p3i: bailout (default is 128)

    IF (real(p3) == 0)        ; Invalid value for color scale.
      p3 = 1 + flip(imag(p3))    ; Substitute a default value.
    ENDIF
    IF (imag(p3) == 0)        ; Invalid value for bailout.
      p3 = (0,128) + real(p3)    ; Substitute a default value.
    ENDIF
    done = 2            ; Iteration counter.
    il2 = 1/log(2.0)        ; Inverse log 2 (precalc).
    lp = log(log(imag(p3)))        ; log(log bailout) (precalc).
        z = 0, c = pixel:               ; Mandelbrot initialization.

    z = sqr(z) + c            ; Mandelbrot calculation.
    done = done + 1            ; Done one more iteration.
    IF (|z| > imag(p3))        ; Point exceeds bailout.
      z = (done + 2*il2*lp - il2*log(log(cabs(z)))) * real(p3) - done
      done = -1            ; Set flag to force an exit.
    ENDIF

    done >= 0            ; Continue if the flag is clear.
}


- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]
- -------------------------------------------------------------------------------


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