Standard
Class Standard_Magnet2Julia

Object
  common:Generic
      common:Formula
          common:ConvergentDivergentFormula
              Standard:Standard_Magnet2Julia

class 
ConvergentDivergentFormula:Standard_Magnet2Julia

Object version of Julia in Standard.ufm. Magnetic Julia set type 2.

Ultra Fractal Source

Toggle UF Source Code Display

 class Standard_Magnet2Julia(common.ulb:ConvergentDivergentFormula) {
 ;
 ; Object version of Julia in Standard.ufm.
 ; Magnetic Julia set type 2.
 ;
 public:
   complex func Init(complex pz)
     ConvergentDivergentFormula.Init(pz)
     return pz
   endfunc
 
   complex func Iterate(complex pz)
     ConvergentDivergentFormula.Iterate(pz)
     return sqr( (pz^3 + 3 * (@p1-1) * pz + (@p1-1) * (@p1-2))  /            \
            (3 * pz^2 + 3 * (@p1-2) * pz + (@p1-1) * (@p1-2) + 1) )
   endfunc
 
 default:
   title = "Magnet 2 (Julia)"
   helpfile = "Uf*.chm"
   helptopic = "Html/formulas/standard/magnet.html"
   param p1
     caption = "Parameter"
     default = (0, 0)
     hint = "This parameter defines the shape of the fractal. Use the Switch \
             feature in combination with the Magnet 2 (Mandelbrot) formula to \
             find interesting values."
   endparam
   param p_upperbailout ; Overrides p_upperbailout from ConvergentDivergentFormula
     caption = "Bailout value"
     default = 100.0
     min = 1
     exponential = true
     hint = "This parameter defines how soon an orbit bails out while \
             iterating. Larger values give smoother outlines; smaller values \
             generally produce more interesting shapes around the set."
   endparam
   param p_lowerbailout ; Overrides p_lowerbailout from ConvergentDivergentFormula
     caption = "Convergent bailout value"
     default = 0.000008
     min = 0
     exponential = true
     hint = "This parameter defines how soon a convergent orbit bails out while \
             iterating. Smaller values give more precise results but usually \
             require more iterations."
   endparam
   complex param p_power ; Hide p_power from Formula
     visible = false
   endparam
 }
 

Constructor Summary

Standard_Magnet2Julia()

Method Summary

complex	Init(complex pz) Set up for a sequence of values
complex	Iterate(complex pz) Produce the next value in the sequence

Methods inherited from class common:ConvergentDivergentFormula

GetLowerBailout, GetUpperBailout, IsBailedOut

Methods inherited from class common:Formula

GetPrimaryExponent

Methods inherited from class common:Generic

GetParent

Methods inherited from class Object

Constructor Detail

Standard_Magnet2Julia

public Standard_Magnet2Julia()

Method Detail

Init

public complex Init(complex pz)

Description copied from class: ConvergentDivergentFormula

Set up for a sequence of values

This function will be called at the beginning of each sequence of values (e.g. at the beginning of each fractal orbit).

Overrides:

Init in class ConvergentDivergentFormula

Parameters:

pz - seed value for the sequence; for a normal fractal formula, this will be #pixel

Returns:

first value in the sequence; this corresponds to #z in a fractal formula

Iterate

public complex Iterate(complex pz)

Description copied from class: ConvergentDivergentFormula

Produce the next value in the sequence

As long as the sequence has not bailed out, this function will be continually called to produce sequence values.

Overrides:

Iterate in class ConvergentDivergentFormula

Parameters:

pz - previous value in the sequence; corresponds to #z in a fractal formula. Note that you should always use this value for computing the next iteration, rather than a saved value, as the calling code may modify the returned value before passing it back to the next Iterate() call.

Returns:

the next value in the sequence