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rep_popcorn_fractal_transformative

Arguments:

• _points>0,_density>0,_H,_K,_zoom,_rotation_angle,_origin_x,_origin_y,_trig_mode={ 0=Trig-4 | 1=Trig-6 },set_arg_a,set_arg_b

Description:

Generates Swirling Hall which is forked from Transformative Pickover Popcorn Fractal. Discovered by T.Gangopadhyay at XLRI in C.H.Area(E),Jamshedpur,India in 2012.

 
Source: International Journal of Computer Applications(0975-8887) Volume 50-No.8, July 2012.
 
_points defines the maximum number of points to be added on image based on pixel location. Negative Mode
_density defines the frequency of points to be added along row and height of image. A value of one implies n points to be added per pixel.
_H is the function multiplier used to subtract from the new found values from each iteration.
_K is the inner multiplier for the inside function. See popcorn_x(a,b), and popcorn_y(a,b) embedded within the code of rep_popcorn_fractal for more information.
_zoom defines the magnification of image. A negative value will "shrink" the structure of generated fractal.
_rotation_angle defines the function angle of fractal.
_origin_x defines the position of fractal. Center of image row will be treated as zero, and the ranges for image row are treated as -1,1.
_origin_y defines the position of fractal. Center of image column will be treated as zero, and the ranges for image column are treated as -1,1.
_set_arg defines complex trigometric functions to utilize to define the complex popcorn fractal.
 
Note: See below note for more details on _set_arg
 
---- Set of arguments for each _set_arg -----
 
There can be up to 6 set of arguments. If any of first two set of arguments are specified, then the default arguments for the first two set of arguments are overrided with the first two set of arguments. If any of the last two arguments are not specified, then it will take the last two set of arguments before it, otherwise, it will override it with the specified arguments.
 
Note: Use the examples provided to make it easier to generate. See examples for clarification on what is meant by set of arguments.
 
if _set_arg_n_1==0: 0,_function
 
Output - func_a(v)
 _function={0=sin|1=sinh|2=cos|3=cosh|4=tan|5=tanh}
 
elif _set_arg_n_1==1: 1,_function_a,_function_b
 
Output - func_a(v)+func_b(v)
 _function_a={0=v|1=sin|2=sinh|3=cos|4=cosh|5=tan|6=tanh}
 _function_b={0=v|1=sin|2=sinh|3=cos|4=cosh|5=tan|6=tanh}
 
elif _set_arg_n_1==2: 2,_function_a,_function_b,_include_v
 
 Output - func_a((include_v?v:0)+func_b(v))
 _function_a={0=sin|1=sinh|2=cos|3=cosh|4=tan|5=tanh}
 _function_b={0=sin|1=sinh|2=cos|3=cosh|4=tan|5=tanh}
 _include_v={0=FALSE|1=TRUE}
 
fi
 
---- End ----
 
Author: Reptorian.

Default values:

_points=50,density=1,H=.05,_K=3,zoom=.5,_rotation_angle=45,_origin_x=0,_origin_y=0

Example of use:

Command: set_arg_a=0,0 set_arg_b=0,4 512,512 rep_popcorn_fractal_transformative_regular_and_swirling 50,2,.05,3,.5,45,0,0,0,$set_arg_a,$set_arg_b cut 0,1000

G'MIC is an open-source software distributed under the CeCILL free software licenses (LGPL-like and/or
GPL-compatible). Copyrights (C) Since July 2008, David Tschumperlé - GREYC UMR CNRS 6072, Image Team.