Custom formulas & transforms - WIP & discuss

[DarkBeam]

Nice additions, Darkbeam. This is a picture using your AbsX and invcylindrical

<Quoted Image Removed>

Most excellent, a pity that Gnarl2D was wrongly coded

[bib]

Thanks a lot Luca for all these formulas. These are very nice additions. I like the coordinates system inversion. Some more infinite exploration to come!!

[DarkBeam]

You are very kind my friend. I wanted to write a point inversion but I don't know how to write the formula, in 2d it is easy...
x'=x/(x^2+y^2) and y'=y/(...)
this is cylindrical inversion but what about spherical inversion?

[blob]

Images please...

Amazing Box with AbsZ:

[KRAFTWERK]

Oh no! More formulas! 

Cool Luca, will try these out!

[DarkBeam]

I have looked at log, abs type formulas; they was too "basic" and needed some enhancement

Also, I made a gnarl3D formula
I consider those formulas "final" - they don't need any further adjustment or fix. I am going to post final formulas in a separate topic. Now I will open it!

[Jesse]

Basic transforms are a good idea, because it might be a way for generating more user wanted shapes...

I thought it would be good to have a 'SquaringR' formula (generating a sphere) for this reason to have a better bailout condition.

I attached it with a sample parameter file (using also the _invcylindrical formula), first some transformations and then bailing out with squaringR by selecting 'repeat from' on this last formula.
Should result in the 'SqrRtest.jpg' image.

I also included a formula i tried some time ago, wasn't shure to post it but with the new formula selections and maybe more selections in the future (i think i have to add some...  ) this might be ok...

[DarkBeam]

Oh my! Really striking job
Jesse some of your formulas limit user choice (example n power must be between 2 and 9) how can it be done? and thanks for the help in private issues 

[cKleinhuis]

in my eyes a break down to simple formulas would be great, e.g. a "exponentiation" and an "adding" function applied alternatively would generate the standard mandelbulb
your program already features (a limited amount of) alternation, so, new formulas can be created easily

although an object approach like it is done in ultrafractal would be more likely but a little harder to implement with current set up,
so that even the mandelbox can be "clicked" together, like you would need an IFGREATERTHEN formulaA ELSE formulaB, function, so, a formula should
be able to have another formula as parameter

i know this is going crazy, but this would make constructing of formulas possible with no actually understanding of what is going on

[DarkBeam]

I wanted to do a 3D Barnsley. But I still have problems with the "jge" that wants an absolute address value and not an offset. Suggestions?

[DarkBeam]

Oh my... Using Jesse's new formula I produced a 2D "extruded" gnarl. Too bad it's immensely slow to calculate and fuzzy

Mandelbulb3Dv16{
M....kG....9/...w....2....Ukm2.V4/...jOqzxmxzr1E1Fx187ylmynSj2Vh8W3xzc5dim2.V4mj
................................OaNaNaNadz1........A./..................y.2.....
................/ME//....6Ed....07....E2.....kmEQgisq6sD/..........c./...w1.BnAH
y.....kD..../..........wz.............................................sD...../..
.wHnAnQDYsAIxzzzjz1..........WAbUdisqcljTcFzUvMS3t97C1JzzzzvzUNehUisqcljMaO9c9iB
Ow1mQ0auWPX4zU2bVezzzzyD......og......................sD..kz0...................
.............................UJRR4.uppN.sNLb/UkRR4.arpN.cULb/U9SR4..............
...........................U..6.P....M4...EB....W....61....F....8/...I1....UJl12
...U.iVFwxDE./ozPM2Tzz7lz16.mc..zXCc.El18XGQeGyDjvIRhrVAkz1............28.kFrA0.
FWb96aAIVzvh1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
S1.mx3CcN/UvNP6.QsLsUa3.ibhV..bTV1OK.sSq40.ly3CcN/UvNP6.MwLsUa3.ibhV.kqTV1OK.sSq
40.kz3CcN/UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....A....E.....I.........kLN/5PpBrIdtaK.IaQ.........................c..........
...................6./........zj................................................
................................................................................
.....................I.....3....3....wpNi3aQg71F.24PM/..........................
..............................zDOaNaNaNa7zXaNaNaNaNiz0.......U.E..........2.....
................................................................................
................................/....E/...E.....TBpMVlKOiR4.....................
................................BnAnAnAnoz1.....................................
................................................................................
............................................}

Edit. YAY!!! This is very better


Mandelbulb3Dv16{
M....kG....9/...w....2....U4oBdEu5n3.T.uIJ4xuV3Ev6MLU/JK0z9lA8YTE6duz2L1dwAFbm.E
................................fl59ou6tSz1........A./..................y.2.....
................/M.//....6.VA...J3....E2.....wTzVIP.kssD/..........c./...w1...UZ
1/kPGAcC..../..........wz.............................................sD...../..
.wn3r4BCIVPam4.ACy1..........KqVnM5muWfjZgNaipWEYr9Jsadg/.XXzAiRUE5muWfjVP56oVgi
sunN5CXR6f9iyMeQF.P.kssD......2W1.....................sD..kz0...................
.............................UJRR4.uppN.sNLb/UkRR4.arpN.cULb/U9SR4..............
...........................U..6.P....M4...EB....W....61....F....8/...I1....UJl12
...U.iVFwxDE./ozPM2Tzz7lz16.mc..zXCc.El18XGQeGyDjvIRhrVAkz1............28.kFrA0.
FWb96aAIVzvh1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
S1.mx3CcN/UvNP6.QsLsUa3.ibhV..bTV1OK.sSq40.ly3CcN/UvNP6.MwLsUa3.ibhV.kqTV1OK.sSq
40.kz3CcN/UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....A....E.....I.........kLN/5PpBrIdtaK.IaQ.........................c..........
...................6./........zj................................................
................................................................................
.....................I.....3....3....wpNi3aQg71F.24PM/..........................
..............................zDOaNaNaNa7zXaNaNaNaNiz0.......U.E..........2.....
................................................................................
................................/....E/...E.....TBpMVlKOiR4.....................
................................BnAnAnAnoz1.....................................
................................................................................
............................................}

 

[DarkBeam]

  Somebody twisted my Menger sponge... Oh, sorry it is my new transform "Helispiral"! In "release" topic together with Sphere inversion. It took an age to write sphere inversion, whatever.

[DarkBeam]

  Hmph!!! I am very sorry to beg you with that many messages. Too bad sphereinv was wrongly coded! I have now corrected it and added some (intentionally!) "wrong" formulas, that I called sphereXinv (and so on) to use as a replacement. Sorry again

[Jesse]

I wanted to do a 3D Barnsley. But I still have problems with the "jge" that wants an absolute address value and not an offset. Suggestions?

to my knowledge, and the IA-32 Intel® Architecture Software Developer’s Manual,
http://www.intel.com/products/processor/manuals/

the conditional jumps are all relative with signed 8 or 32 bit offsets.

I am not sure if we should discuss assembler issues in here, you can always email me directly, that might also be faster for me to answer.

[DarkBeam]

I wanted to do a 3D Barnsley. But I still have problems with the "jge" that wants an absolute address value and not an offset. Suggestions?

to my knowledge, and the IA-32 Intel® Architecture Software Developer’s Manual,
http://www.intel.com/products/processor/manuals/

the conditional jumps are all relative with signed 8 or 32 bit offsets.

I am not sure if we should discuss assembler issues in here, you can always email me directly, that might also be faster for me to answer.

I have no hurry to read reply Jesse thanks I'll check again.

But a question; what is C? Cx, Cy, Cz... Sorry for the ignorance