Standard
Class Standard_Magnet2Mandelbrot

Object
  common:Generic
      common:Formula
          common:ConvergentDivergentFormula
              Standard:Standard_Magnet2Mandelbrot

class 
ConvergentDivergentFormula:Standard_Magnet2Mandelbrot

Object version of Magnet2Mandelbrot in Standard.ufm. Magnetic Mandelbrot set type 2.

Ultra Fractal Source

Toggle UF Source Code Display

 class Standard_Magnet2Mandelbrot(common.ulb:ConvergentDivergentFormula) {
 ;
 ; Object version of Magnet2Mandelbrot in Standard.ufm.
 ; Magnetic Mandelbrot set type 2.
 ;
 public:
   complex func Init(complex pz)
     fPixel = pz
     return @p1
   endfunc
 
   complex func Iterate(complex pz)
     return sqr( (pz^3 + 3 * (fPixel-1) * pz + (fPixel-1) * (fPixel-2))  /     \
            (3 * pz^2 + 3 * (fPixel-2) * pz + (fPixel-1) * (fPixel-2) + 1) )
   endfunc
 
   bool func IsBailedOut(complex pz)
     return |pz| >= @p_upperbailout || |pz - 1| <= @p_lowerbailout
   endfunc
   
 private:
   complex fPixel
 
 default:
   title = "Magnet 2 (Mandelbrot)"
   helpfile = "Uf*.chm"
   helptopic = "Html/formulas/standard/magnet.html"
   param p1
     caption = "Perturbation"
     default = (0, 0)
     hint = "Starting value for each point. You can use this to \
             'perturb' the fractal. Use (0, 0) for the classic set."
   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 = 0.00005
     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_Magnet2Mandelbrot()

Method Summary

complex	Init(complex pz) Set up for a sequence of values
boolean	IsBailedOut(complex pz) Test whether the formula has bailed out (i.e.
complex	Iterate(complex pz) Produce the next value in the sequence

Methods inherited from class common:ConvergentDivergentFormula

GetLowerBailout, GetUpperBailout

Methods inherited from class common:Formula

GetPrimaryExponent

Methods inherited from class common:Generic

GetParent

Methods inherited from class Object

Constructor Detail

Standard_Magnet2Mandelbrot

public Standard_Magnet2Mandelbrot()

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

IsBailedOut

public boolean IsBailedOut(complex pz)

Description copied from class: ConvergentDivergentFormula

Test whether the formula has bailed out (i.e. the sequence is complete)

Since this is a divergent fractal, the test is easy: if it's bigger than the bailout, the sequence is done.

Overrides:

IsBailedOut in class ConvergentDivergentFormula

Parameters:

pz - last sequence value to test; this should be the value returned from the previous Iterate() call. Note that it is acceptable to ignore pz and use m_BailedOut, but any code calling IsBailedOut() should pass in the correct pz for Formula classes which do not use m_BailedOut.

Returns:

true if the sequence has bailed out (i.e. should be terminated)