Standard
Class Standard_Julia

Object
  common:Generic
      common:Formula
          common:DivergentFormula
              Standard:Standard_Julia

class 
DivergentFormula:Standard_Julia

Object version of Julia in Standard.ufm. Generic Julia set.

Ultra Fractal Source

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 class Standard_Julia(common.ulb:DivergentFormula) {
 ;
 ; Object version of Julia in Standard.ufm.
 ; Generic Julia set.
 ;
 public:
   complex func Init(complex pz)
     return pz
   endfunc
   
   complex func Iterate(complex pz)
     return pz^@p_power + @seed
   endfunc
   
 default:
   title = "Julia"
   rating = recommended
   helpfile = "Uf*.chm"
   helptopic = "Html/formulas/standard/julia.html"
   param seed
     caption = "Julia seed"
     default = (-1.25, 0)
     hint = "Use this parameter to create many different Julia sets. A good \
             way to set this parameter is with the Eyedropper or Explore features."
   endparam
   param p_power ; Overrides p_power from Formula
     caption = "Power"
     default = (2,0)
     hint = "This parameter sets the exponent for the Julia formula. \
             Increasing the real part to 3, 4, and so on, will multiply the \
             symmetry of the Julia figure. Non-integer real values and non-zero \
             imaginary values will create distorted Julia fractals. Use (2, 0) \
             for the standard Julia set."
   endparam
   param p_bailout ; Overrides p_bailout from DivergentFormula
     caption = "Bailout value"
     default = 4.0
     min = 1.0
     exponential = true
     hint = "This parameter defines how soon an orbit bails out while \
             iterating. Larger values give smoother outlines; values around 4 \
             give more interesting shapes around the set. Values less than 4 \
             will distort the fractal."
   endparam
 }
 

Constructor Summary

Standard_Julia()

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:DivergentFormula

GetUpperBailout, IsBailedOut

Methods inherited from class common:Formula

GetLowerBailout, GetPrimaryExponent

Methods inherited from class common:Generic

GetParent

Methods inherited from class Object

Constructor Detail

Standard_Julia

public Standard_Julia()

Method Detail

Init

public complex Init(complex pz)

Description copied from class: DivergentFormula

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 DivergentFormula

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: Formula

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 Formula

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