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Subject: fractint Digest V1 #7
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fractint Digest        Sunday, August 24 1997        Volume 01 : Number 007



In this issue:

    Re: (fractint) New Coloring Methods
    Re: (fractint) New Coloring Methods
    Re: (fractint) New Coloring Methods
    (fractint) More fun with new coloring
    (fractint) Possible DeepZoom bug
    Re: (fractint) New Coloring Methods
    Re: (fractint) New Coloring Methods
    (fractint) Constant-color PARs (and an intro.)
    (fractint) Constant-colo
    (fractint) 2nd Question:
    [none]
    (fractint) Books for the rest of us...
    Re: (fractint) Books for the rest of us...
    (fractint) feather.par
    (fractint) Everyone has to start somewhere
    (fractint) fractint 19.6 and Win95
    (fractint) Win 95
    (fractint) New coloring methods (need help)
    (fractint) Suggestions for FractInt
    (fractint) New coloring methods (again)
    (fractint) Win 95

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: Fri, 22 Aug 1997 17:48:47 -0600
From: "Tim Wegner" <[e-mail]>
Subject: Re: (fractint) New Coloring Methods

> Damien wrote:

> In my first post to this list, I asked if anyone knew how to add new
> coloring options to FractInt, preferably using the formula parser (instead
> of recompiling the C code).  Now I see some others are asking the same
> thing.  I've done some playing around, and I found out how to do it.

If there are any predefined constants that you would like added to
the parser to facilitate coloring methods, let me know and I'll add
them. A predefined constant is a variable that the parser assigns a
particular value to. "Constant" isn't exactly the right term; maybe I
should call them "automatically updated variables" or some such. The
whitesq variable used in pseudohighcolor is an example.

Also, when you have arrives at a few good formula examples of
coloring methods, we can add them to fractint.frm.

Tim

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

Date: Fri, 22 Aug 1997 20:49:05 -0400 (EDT)
From: [e-mail]
Subject: Re: (fractint) New Coloring Methods

In a message dated 97-08-22 01:08:24 EDT, you write:

<< So I thought of a way to use the formula parser to add new coloring
 techniques.  >>
Damien,
Those are some really neat ideas. I am just leaving to go on vacation
(actually help move my daughter from Buffalo, NY), so I can't try anything
until I get back. I see all kinds of possibilities here.
Ron Barnett

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

Date: Fri, 22 Aug 1997 20:52:08 -0400 (EDT)
From: [e-mail]
Subject: Re: (fractint) New Coloring Methods

In a message dated 97-08-22 18:51:54 EDT, you write:

<< Also, when you have arrives at a few good formula examples of
 coloring methods, we can add them to fractint.frm.  >>

Tim, when I get back from vacation, I going to explore whether some of
Damien's ideas can be used to implement the Linas Vepstas true coloring
algorithm. I think it can be done, especially in conjunction with
iterates.tga.
Ron Barnett

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

Date: Fri, 22 Aug 1997 23:06:48 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) More fun with new coloring

Howdy folks,

Here's another new coloring method picture.  The basic idea with this one
is to position a ring somewhere on the complex plane, and track the closest
any iteration value gets to it; color based on the angle of the closest
point.  Using a ring instead of a point produces some really wild effects;
playing with the ring's location and diameter gives this lots of variety.
Good palettes help enormously, of course.  When I wrote this formula, I
erred and computed the distance incorrectly--the square root should be
taken before the subtracting the ring's diameter.  So mathematically it's
wrong... but it still produces some really cool pictures, like this one.
So aesthetically, it's fine. :-)

This image took a while to render, mainly because I was generating it at
such high resolution, but also because it doesn't work with guessing (hence
the two-pass rendering).  I prefer to render high, then reduce image size
in a graphics program to anti-alias the results.  On my Cyrix 6x86P120+ it
took 4:01.72 to render at 640x480; the one I keep in my collection is a
1600x1200 I rendered on a PPro-200 (which still took over fifteen minutes).

- -----8<----- Begin FractInt 19.6 PAR file

RubySlippers { ; Copyright 1997 Damien M. Jones
  reset=1960 type=formula formulafile=dmj.frm formulaname=color11
  function=sqr passes=2
  center-mag=-1.74453602257631800/+0.00329174411624011/6733462
  params=-0.5/0.75/0/0.75/128/0 float=y maxiter=10000 bailout=128
  inside=0 decomp=256
  colors=000ii0<33>220000100<55>x0Jz0Kz0K<83>zyyzzzzzy<60>zz1zz0yy0xx0<9>k\
  k0
  }

FRM:Color11 { ; New coloring technique #11 (ring trap)
    ; outside = decomp: angle at closest approach to ring at p1
    ; p2r: unused
    ; p2i: ring diameter
    ; p3: bailout
    z = 0, c = pixel, closest = 100000, point = 0, done = 2,
      range=imag(p2)*imag(p2):
    z = fn1(z) + c
    done = done + 1
    q = abs(|z-p1| - range)
    IF (q < closest)
      point = z
      closest = q
    ENDIF
    IF (|z| > p3)
      z = point
      done = -1
    ENDIF
    done >= 0
}

- -----8<----- End PAR file

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: Fri, 22 Aug 1997 23:43:57 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) Possible DeepZoom bug

It's me again.

I recently found what I think may be a bug in the deepzoom code.  If the
bailout is set above 4, odd things happen to the iteration bands.  I have
attached two PARs, one with the bug and one without.  The only difference
between the two is the bailout value.  I'd like someone else to be able to
verify this.  It occurs on both a PPro and a 6x86, so it's not a
processor-related thing.

Sorry the point itself is so lame, but it's where I noticed the bug (on the
way to something a bit cooler).

dz-bug             {
  reset=1960 type=mandel
  center-mag=0.28044855475171531865/0.48353563883582852252/1.61773e+015
  params=0/0 float=y maxiter=10000 bailout=128 inside=0
  colors=000001<10>N0DP0ER0ET0FV0GX0J<9>p0U<4>zcqyUkwKfuA_s0U<7>c0Na0M_0K<\
  17>000100211511622833A33D44E55<6>T9AVABXAD<3>dDFfDGhEHjFIlFJnGKpGKrPTtY`\
  vgjxprzzzyqswhiu_bsRUqHL<5>eEGcDGaCF_CFYBDWADUAB<5>I67G56D55B44944733<3>\
  000<14>TM0VN0XP0ZR0<8>pc0rd4tf8veCxgGzgKyfGwfCud8sd4qd0<25>210000011<13>\
  0TF0VG0XJ<4>0fN0hO0jQ<2>0pT6rVCtYIvaOxdUzfOycIwaCuY6sW0qS<25>020
  }

dz-ok              {
  reset=1960 type=mandel
  center-mag=0.28044855475171531865/0.48353563883582852252/1.61773e+015
  params=0/0 float=y maxiter=10000 bailout=4 inside=0
  colors=000001<10>N0DP0ER0ET0FV0GX0J<9>p0U<4>zcqyUkwKfuA_s0U<7>c0Na0M_0K<\
  17>000100211511622833A33D44E55<6>T9AVABXAD<3>dDFfDGhEHjFIlFJnGKpGKrPTtY`\
  vgjxprzzzyqswhiu_bsRUqHL<5>eEGcDGaCF_CFYBDWADUAB<5>I67G56D55B44944733<3>\
  000<14>TM0VN0XP0ZR0<8>pc0rd4tf8veCxgGzgKyfGwfCud8sd4qd0<25>210000011<13>\
  0TF0VG0XJ<4>0fN0hO0jQ<2>0pT6rVCtYIvaOxdUzfOycIwaCuY6sW0qS<25>020
  }

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: Fri, 22 Aug 1997 23:32:28 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) New Coloring Methods

Tim,

 - If there are any predefined constants that you would like added to
 - the parser to facilitate coloring methods, let me know and I'll add
 - them. A predefined constant is a variable that the parser assigns a
 - particular value to. "Constant" isn't exactly the right term; maybe I
 - should call them "automatically updated variables" or some such. The
 - whitesq variable used in pseudohighcolor is an example.

I'll have to think about that.  This is an interesting idea.  The ismand
keyword will be most valuable, though, and is the best idea I've heard for
the formula parser in a long time.  One thing I'd definitely like, though:
more parameters!  Three is pretty limiting.  This is probably more an
interface issue than anything else, though.

BTW, as long as I'm thinking about it, does the formula parser to any sort
of JIT compiling?  (Yes, I could look at the source code, but it's easier
to ask you than to unzip it and hunt for the relevant portions. :-)

 - Also, when you have arrives at a few good formula examples of
 - coloring methods, we can add them to fractint.frm.

Hmmm, there's the ones I've posted here.  Plus the ones I skipped when I
went from 1 to 5 to 11. :-)  I'd have to go through and weed out the
useless ones, though.

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: Fri, 22 Aug 1997 23:36:07 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) New Coloring Methods

Ron,

I know you directed this at Tim:

 - Tim, when I get back from vacation, I going to explore whether some of
 - Damien's ideas can be used to implement the Linas Vepstas true coloring
 - algorithm. I think it can be done, especially in conjunction with
 - iterates.tga.

The biggest problem is that you need access to the last z value for the
no-stepping algorithm, and you really need more than 256 colors to do a
good job.  Still, if you don't mind the 256-color limit, you can make the
entire color palette repeat at an arbitrary number of iterations--instead
of looping at 255, you could make it loop at 253, or 127.5... whatever you
want.

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: Sat, 23 Aug 1997 02:37:38 -0600 (MDT)
From: "Sean (and/or) Jaqueline" <[e-mail]>
Subject: (fractint) Constant-color PARs (and an intro.)

Rich wrote:

> I also have noticed that a bunch of the images in the various PAR
> files being distributed around compute out as a constant color screen
> for me.  Does anyone else have this problem?  If it would help, I can
> send someone a GIF file saved of one of my constant color screen
> situations.

  I have most definitely experienced this problem before.  Some of the
suggestions I've read sound reasonable to me, but another possibility is
simply that your PAR file has entries "inside=0 outside=0" in it.  With
other options enabled (like some value or other for "distest") this is
fine, but I have a few PARs where said options are not explicitly
included.
  Another possibility might be something like the problem Damien corrected
in his Aug. 22nd post regarding switching to floating point before running
the PAR.
  I dunno.  I'm new here.  :)

  Speaking of which, HI!  I just subscribed, thanks to Noel's plug at
Spanky, and what a treat it is to see messages from the authors that,
until now, I suspected were part of a Compuserve plot to keep us lowly
internet users away from any FractInteraction.  (I punned in my first
post.  Sorry.)
  My name is Sean, and I've been a Fract-a-holic since my first copy of
FractInt in 1991.  I played with it for a while, and then got a copy of
Fractal Creations and really went to town after that.  Missed the 2nd
edition, though.
  FractInt was the "force" which prodded me into pushing myself to
understand previously opaque mathematical concepts.  I've a long way to
go, but I like this brain exercise!

***
  Okay, now I've got a question for the list.  I've found the Rich8z3
entry in FRACTINT.PAR for the BACK cover of Fractal Creations.  Now can
anyone enlighten me as to how to recreate the feather image on the FRONT
cover?  Is it obvious to everyone but me?
  (Psst.  I'm in digest-mode, so if someone replies and I don't thank
them immediately, don't assume I'm rude.  Assume I'm slow instead.)


  Enough for now.  Thanks for setting up this list, Tim.  I love it
already!

        -Sean Pratz
     [e-mail]


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

Date: Sat, 23 Aug 1997 08:34:19 -0400
From: Lee Skinner <[e-mail]>
Subject: (fractint) Constant-colo

Sean,

>> Now can anyone enlighten me as to how to recreate the feather image on=

the FRONT cover?  <<

feather            { ;
                     ; Image Copyright 1991-7 by Lee H. Skinner
  reset=3D1920 type=3Dformula formulafile=3D_c.frm formulaname=3Dcubic
  passes=3D1
  center-mag=3D+0.00046651118178621/+2.96440183716083900/3030.303
  params=3D1/0/0/0/0/0 float=3Dy maxiter=3D1023 inside=3D0 logmap=3Dyes
  colors=3D000Foa<2>Eq`I7f<22>MfTI6f<50>ttKuuJuuJuuJ<73>wMHjIj<17>qLlI6f<=
77>\
  Fna
  }

Lee

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

Date: Sat, 23 Aug 1997 15:34:29 -0400
From: Lee Skinner <[e-mail]>
Subject: (fractint) 2nd Question:

Jay,

>>Now these are strange par files. Look what happened when I zoom out.
>>There is a sudden jump in the image.

>>Why?

>>JumpPoint          { ; zoom out just a bit

Apparently this is all due to periodicity.  Make periodicity=3D0 and ther=
e
will be no jumps - but the images will be very different!  I asked Jonath=
an
Osuch about this example (on the Compuserve Graphdev forum) and he said:

"Turn off periodicity.  The image is exclusively due to the inside=3Dbof6=
0
option, so anything that changes when the bailout occurs will change the
image.  ... However, periodicity checks for periodic orbits and exits if
one is found.  When this happens the color value is set to maxit. Turning=

periodicity off allows points that were caught by periodicity to continue=

calculating.  Hence, there are points that are now outside the set becaus=
e
they exceed the bailout."

Lee

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

Date: Sat, 23 Aug 1997 15:08:53 -0600
From: [e-mail]
Subject: [none]

unsubbed the original list and subbed to the digest.  Then I posted the
following to the digest without remembering that it wouldn't go out to the
list, so I reversed the process.  Oops!  So here I go again.  :)
Sender: [e-mail]
Precedence: bulk
Reply-To: fractint

Rich wrote:

> I also have noticed that a bunch of the images in the various PAR
> files being distributed around compute out as a constant color screen
> for me.  Does anyone else have this problem?  If it would help, I can
> send someone a GIF file saved of one of my constant color screen
> situations.

  I have most definitely experienced this problem before.  Some of the
suggestions I've read sound reasonable to me, but another possibility is
simply that your PAR file has entries "inside=0 outside=0" in it.  With
other options enabled (like some value or other for "distest") this is
fine, but I have a few PARs where said options are not explicitly
included.
  Another possibility might be something like the problem Damien corrected
in his Aug. 22nd post regarding switching to floating point before running
the PAR.
  I dunno.  I'm new here.  :)

  Speaking of which, HI!  I just subscribed, thanks to Noel's plug at
Spanky, and what a treat it is to see messages from the authors that,
until now, I suspected were part of a Compuserve plot to keep us lowly
internet users away from any FractInteraction.  (I punned in my first
post.  Sorry.)  So, when do I get my charter-member certificate mailed to
me?  :)
  My name is Sean, and I've been a Fract-a-holic since my first copy of
FractInt in 1991.  I played with it for a while, and then got a copy of
Fractal Creations and really went to town after that.  Missed the 2nd
edition, though.
  FractInt was the "force" which prodded me into pushing myself to
understand previously opaque mathematical concepts.  I've a long way to
go, but I like this brain exercise!

***
  Okay, now I've got a question for the list.  I've found the Rich8z3
entry in FRACTINT.PAR for the BACK cover of Fractal Creations. Now can
anyone enlighten me as to how to recreate the feather image on the FRONT
cover?  Is it obvious to everyone but me?
***

  Enough for now.  Thanks for setting up this list, Tim.  I love it
already!

        -Sean Pratz



      ****** Sean or Jaq Pratz * [e-mail] ******
      *     o  \ o / _ o      __|   \ /    |__      o _ \ o /  o    *
      *    /|\   |    /\  __\o  \o   |   o/   o/__  /\    |   /|\   *
      *    / \  / \  | \ /) |   (\  /o\  /)   |  (\ / |  / \  / \   *
      ****** http://www.freenet.edmonton.ab.ca/~spratz/mpd.htm ******




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

Date: Sat, 23 Aug 1997 18:08:37 -0300
From: Fabian Labeau <[e-mail]>
Subject: (fractint) Books for the rest of us...

Please, I want to read and understand the fractal world.
Which is the best book/s avaliable for the "non math-wizard".
Saludos
                 Fabian Labeau
                 [e-mail]
                 [e-mail]
                 [e-mail]
                 http://www.geocities.com/HotSprings/3792


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

Date: Sat, 23 Aug 1997 19:49:01 -0700
From: "Peter Jakubowicz" <[e-mail]>
Subject: Re: (fractint) Books for the rest of us...

- ----------
> From: Fabian Labeau <[e-mail]>
> To: [e-mail]
> Subject: (fractint) Books for the rest of us...
> Date: Saturday, August 23, 1997 2:08 PM
>
> Please, I want to read and understand the fractal world.
> Which is the best book/s avaliable for the "non math-wizard".
>

Hi,
    After having asked a similar question myself last week, it was suggested
by some kind people I try "Chaos and Fractals: New Frontiers of Science" by
Peitgen, Jurgens and Saupe. Which I have been reading since (its about 900
pages long). It is definitely a book to beg, buy or steal; I cannot express
how good it is.


    Now for an unrelated newbie question: I have been creating slews of little
fractal planets using Fractint's spherical projection routine. And I should
like to make them spin. Can anyone possibly point me in the right direction
towards animating these things? I apologize in advance if this is something
I should  be able to figure out without help.

    I also noticed people have been introducing themselves in various ways. I
live in Washington, D.C., don't work for the feds, live with Molly (who
thinks Fractint is the greatest program she's ever seen), and have been
enjoying Fractint myself for about a year. I do not think I could bear
working in offices without it; the .zip file very conveniently fits onto
one floppy.

                          Best regards,
                        Peter Jakubowicz
>
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------------------------------

Date: Sat, 23 Aug 1997 19:32:28 -0600 (MDT)
From: "Sean (and/or) Jaqueline" <[e-mail]>
Subject: (fractint) feather.par

Thanks, Lee!

      ****** Sean or Jaq Pratz * [e-mail] ******
      *     o  \ o / _ o      __|   \ /    |__      o _ \ o /  o    *
      *    /|\   |    /\  __\o  \o   |   o/   o/__  /\    |   /|\   *
      *    / \  / \  | \ /) |   (\  /o\  /)   |  (\ / |  / \  / \   *
      ****** http://www.freenet.edmonton.ab.ca/~spratz/mpd.htm ******



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

Date: Sat, 23 Aug 1997 22:38:38 -0600 (MDT)
From: "Sean (and/or) Jaqueline" <[e-mail]>
Subject: (fractint) Everyone has to start somewhere

  Well, I'm no math whiz, so I have no idea what this does or why it does
it, but it looks cool to me.  I guess it's a credit to the Soupers that
someone can string together a couple letters and brackets to make
something that looks like a valid equation, and have it render as a
fractal.

  And that's what happened here.  The names of the files say it all.  This
is my first attempt at formula writing.  Of course, not knowing thing one
about the math behind it (I MUST get some of those recommended books!), I
stuck in a lot of parms to let me play.

  Apologies to anyone who thinks my images are ugly.  I have everyone here
beat so far, as I run Fractint on a 386/33 with a monochrome monitor.
Play with the palette or MAPs to spruce 'em up.

  So, er... IS this an acceptable fractal, or for that matter an
acceptable formula?  I notice that zooming out changes the picture
considerably, giving large squared-off areas.

=====BEGIN FORMULA=====
Pratz001 {
  z = (Pixel*p1)+sqrt(p2), c = Pixel:
  z = (fn1(z)*fn2(c)),
  |z| <= p3
}
======END FORMULA======

=======BEGIN PAR=======
No_Idea            { ; I don't know how it works, but I like it!
                     ; (c) Sean Pratz, Aug. 23, 1997
                     ; [e-mail]
                     ;
  reset=1960 type=formula formulafile=seantest.frm
  formulaname=pratz001 function=cosh/ceil
  center-mag=-1.68528/0.233754/4.284931 params=1/0/4/0/8/0 float=y
  inside=0 logmap=yes colors=@firestrm.map
  }
========END PAR========

    -Sean

- ---
      ****** Sean or Jaq Pratz * [e-mail] ******
      *     o  \ o / _ o      __|   \ /    |__      o _ \ o /  o    *
      *    /|\   |    /\  __\o  \o   |   o/   o/__  /\    |   /|\   *
      *    / \  / \  | \ /) |   (\  /o\  /)   |  (\ / |  / \  / \   *
      ***************************************************************



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Date: Sun, 24 Aug 1997 22:54:43 +0300
From: Yehuda Katz <[e-mail]>
Subject: (fractint) fractint 19.6 and Win95

Hello there,

Being new to this listserv, my question might be somewhat dull:

Whenever I try to run fractint 19.6 under Win95 - parts of the system
seem to disappear, and I have to reconstruct them.

Is this a known fact?

Does there exist a Fractint version that lives in peace with Win95?

Thank you,

[[Yehuda]]


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Date: Sun, 24 Aug 1997 17:45:06 -0400
From: Jimmy Emerson <[e-mail]>
Subject: (fractint) Win 95

Hi,
    I'm also new to the group and this is in reference to the "fractint
19.6 and Win95" post by Yehunda Katz.  I always run fractint by
accessing the dos prompt in WIN95.  I have now had to reformat my HD and
reinstall windows 95 twice as the dos prompt window disapears and turns
into one screen window.  It is worth it so I can use the fractint
software with my faster computer but perhaps I should run in dos mode on
bootup?  I believe this question is in more than Yehudas and my minds
because as users of WIN95 we have grown to expect these kind of mishaps
when using software not written for out operating system and a touchy
one at best.

    I would like to introduce myself.  My name is Jimmy Emerson and I
have been using fractint for 7 years.  I started with my first $3500 8
MHz 286.  I am importing the images into Corel 7 for landscapes and I
use them as textures in some places in CorelDream and on CAD objects
imported into CorelDraw.  I love the software but wish there was a howto
manual on it that told you such things as "hold down mouse button and
move forward and backward when in the palette editing mode while on one
of the color tiles".  This is an example of the mechanics of fractint
that I can find no documentation for.  (BTW, I just finished
differential equations, placing four semesters of Calculus under my
belt...at 39 years old I'm proud of this acomplishment)

                                    Who said you can't teach an old dog
new tricks?

                                                       Jimmy Emerson
                                                       Emerson Technical
Services


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Date: Sun, 24 Aug 1997 21:07:47 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) New coloring methods (need help)

I need some help.

I have been trying to use the new coloring method trick to write an
"absolute decomposition" method.  But it doesn't seem to be working right,
and the problem seems to be the mathematics.  So those of you with some
understanding of fractal mathematics, please help this college-math-dropout
out. :)

The decomposition provided by FractInt's decomp option takes the last value
of z and turns its angle into a color.  Settings decomp=256 will map the
entire palette to the full range of angles.  However, because this is done
on the *last* iteration, the number of times the palette loops within an
iteration band doubles with each iteration band.  What I'd like to do is
have a decomposition that doesn't do this--so that color transitions
coincide with field lines around the M-set.

In the book, _Chaos and Fractals: New Frontiers of Science_, by Peitgen,
Juergens, and Saupe, pp. 851-852, the authors describe how this can be
done.  Basically, they suggest that the sign of the imaginary component of
each z[n] term forms a sequence of binary digits which can simply be read
off as the field line; as more iterations are performed, more binary digits
are added that simply refine the angle further.  This sounded ideal, so I
cooked up this FRM:

- -----8<----- Start FRM file

Color12 { ; New coloring technique #12 (absolute decomposition)
    ; outside = real: absolute decomposition
    ; p1r: decomposition color scaling (start with 256)
    ; p2r: bailout (start with 128)
    IF (real(p1) == 0)
      p1 = 256
    ENDIF
    IF (real(p2) == 0)
      p2 = 128
    ENDIF
    z = 0, c = pixel, done = 2, d = 0, dinc = 0.5:
    z = sqr(z) + c
    done = done + 1
    IF (imag(z) < 0)
      d = d + dinc
    ENDIF
    dinc = dinc * 0.5
    IF (|z| > real(p2))
      z = d * real(p1) - done
      done = -1
    ENDIF
    done >= 0
}

- -----8<----- End FRM file

The problem is, this doesn't work.  I get strange discontinuities when I
try it.  I tried this a while back with a custom program, and got the same
results; thinking it was just a bug in my program that I didn't have time
to fix, I filed it away for future tinkering.  That the above formula does
the same thing in FractInt seems to imply there is something wrong with the
underlying math.  Yet the book has pictures which show the correct result,
so obviously the authors were able to make the technique work.  I can
produce their image on p. 854, but only if I use the last bit.  The last
bit seems to be the only that is accurate, and lines up correctly.

I was able to "fudge" the results I wanted by taking the decomposition at a
fixed iteration (i.e. always use the 32nd iteration) but this doesn't seem
to work very well upon zooming in.  The reason I want this feature is
because if it is combined with the "continuous color" method posted
earlier, it can be used to give FractInt the spiraling-gradient
capabilities of KPT Fractal Explorer.  To date I have seen nothing with
this capability besides the KPT plug-in for Photoshop.

Any help would be appreciated.

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: Sun, 24 Aug 1997 21:07:50 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) Suggestions for FractInt

Tim,

I've been thinking about what you said about pre-defined values to help out
coloring-method FRMs.  And although I haven't thought of anything yet, I
did think of one other thing that would help enormously.  Right now,
whenever the user switches fractal types, the parametersm, colors,  and
location are reset.  If an option could be included to switch types, but
leave all other settings intact, this would make it easy to explore using
the fast mandel type, then switch to one of these other more exotic
coloring options once an interesting location is found.  I suggest using
CTRL-T as the key to invoke this function, and that from there it act
pretty much like pressing T normally would.

Just a thought.

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: Sun, 24 Aug 1997 21:07:44 -0400
From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) New coloring methods (again)

I'm back... :-)

Ron Barnett suggested using Linas Vepstas' no-banding coloring technique
with the techniques I suggested earlier this week.  While my first response
was that it would not be possible to do true-color coloring with the
technique, I think that may have been a bit hasty.

Below is a FRM that implements Linas' coloring technique in FractInt.  The
color scaling value is used to tweak how "rapidly" colors cycle through the
entire palette.  Using a value of 1 (the default) will give you the default
integer iteration bands.  Using a value of 255 would cause the entire
palette to cycle through once for each integer band (*rapid* color change).
 Values between zero and one would spread color changes out over several
iterations, useful for zoomed-in areas.

FractInt is still a 256-color program, so it's not possible to directly
render true-color images as suggested.  Using ITERATES.TGA isn't in itself
a solution, since this only stores the integer part of the iteration count
(and no coloring method changes that).  You don't get the exit value of z,
which is needed for the true-color rendering.

However, some creative soul could take the ITERATES.TGA as the base
iteration count, then generate the same point with the formula below, using
a color scaling factor of 255--this would give you the fractional
iteration, in 1/255ths.  Combine the two, and you have a fairly accurate
representation of fractional iteration value--which would then be mapped to
an arbitrary color gradient.  (You have to use 255 instead of 256 because
FractInt wraps the real outside coloring option from 255 to 1, not zero.)

Anyway, even if you don't want to use the formula below for that purpose,
it can be used to prepare multiple layers for combination in a graphics
program.  (For example, generate one image in shades of grey, another in
colors, but with a different color scale... multiply the two together in
Photoshop.  Ooooo, pretty. :)

Now that I think about it, PHC techniques could be used to apply two
different color scales to the same image.  The PHC version follows the
original "continuous color" version below.

- -----8<----- Start FRM file

Color13(XAXIS) { ; New coloring technique #13 (continuous color)
    ; outside = real: continuous color
    ; p1r: color scaling (0 means default of 1--normal iteration bands)
    ; p2r: bailout (0 means default of 128)
    IF (real(p1) == 0)
      p1 = 1
    ENDIF
    IF (real(p2) == 0)
      p2 = 128
    ENDIF
    z = pixel, c = pixel, done = 0, il2 = 1/log(2.0), lp = log(log(real(p2))):
    z2 = sqr(z)
    z = z2 + c
    done = done + 1
    IF (|z| > real(p2))
      z = (done + 2*il2*lp - il2*log(log(cabs(z)))) * real(p1) - done
      done = -1
    ENDIF
    done >= 0
}

Color13phc { ; New coloring technique #13 (continuous color, PHC)
    ; outside = real: continuous color
    ; p1r: color scaling 1 (0 means default of 1--normal iteration bands)
    ; p1i: color scaling 2 (0 means default of 1--normal iteration bands)
    ; p2r: bailout (0 means default of 128)
    IF (real(p1) == 0)
      p1 = 1 + imag(p1)
    ENDIF
    IF (imag(p1) == 0)
      p1 = real(p1) + (0,1)
    ENDIF
    IF (real(p2) == 0)
      p2 = 128
    ENDIF
    z = pixel, c = pixel, done = 0, il2 = 1/log(2.0), lp = log(log(real(p2))):
    z2 = sqr(z)
    z = z2 + c
    done = done + 1
    IF (|z| > real(p2))
      IF (whitesq)
        z = (done + 2*il2*lp - il2*log(log(cabs(z)))) * real(p1) - done
      ELSE
        z = (done + 2*il2*lp - il2*log(log(cabs(z)))) * imag(p1) - done
      ENDIF
      done = -1
    ENDIF
    done >= 0
}

- -----8<----- End FRM file
- -----8<----- Start PAR file

ccphc              { ; Continuous Color PHC example
  reset=1960 type=formula formulafile=dmj.frm formulaname=color13phc
  passes=1
  center-mag=-0.15519576843965720/+0.64963388054984320/6158.933/1/-49.999
  params=16/0.2/0/0 float=y maxiter=50000 inside=0 outside=real
  colors=000mry<7>rkk<15>NG0<3>0F0<5>040<8>0bN<13>zzz<114>C11B00B00A00086<\
  77>mrz
  }

- -----8<----- End PAR file

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: Sun, 24 Aug 1997 22:34:13 -0400
From: Les St Clair <[e-mail]>
Subject: (fractint) Win 95

Hi Jim,

you wrote >>I always run fractint by
accessing the dos prompt in WIN95.  I have now had to reformat my HD and
reinstall windows 95 twice as the dos prompt window disapears and turns
into one screen window.<<

If, by a "one screen window", you mean maximised then this is normal.

I have run different DOS realease versions of Fractint under Win 95 on a
486DX2 and, more recently, on a Pentium II without difficulty. It is
important that you set up a shortcut (or PIF) to ensure that Windows 95 i=
s
told to run Fractint maximised and NOT in a window.

To do this -
(1) open explorer and locate your Fractint directory, then *right-click* =
on
"FRACTINT.EXE"
(2) select "properties" from the list of options
(3) on the "fractint.exe properties" box click on the "Program" tab
(4) from the pull-down list next to "Run", choose "Maximized"
(5) check the "Close on exit" box
(6) click on the "Screen" tab
(7) choose the "Full-screen" button in the "Usage" section
(8) click on "OK"

After this a new file will appear in your fractint directory called
"fractint" (no extension), this will be appear with the description
"shortcut to MS-DOS program". Right clicking will reveal it's MS-DOS name=

to be "fractint.pif"

If you prefer to run your DOS prompt in a window and you find programs li=
ke
Fractint re-set it to full screen, then just follow the reverse of the
above to restore it to "normal"
i.e. right-click your MS-DOS prompt and choose "properties"
on the "Program" tab choose "normal window"
on the "Screen" tab choose "window"
Your DOS "window" will then re-appear!

Once you have set up the shortcut for Fractint it won't mess with you DOS=

prompt settings any more. But, better still, why not create a shortcut to=

Fractint in one of your program groups, or have its icon sitting right
there on you desk-top and give the DOS prompt a miss all together?

I hope these suggestions help your operating system and Fractint  to live=

in harmony<g>

cheers, Les St Clair

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