reb
Class REB_Gopalsamy3

Object
  common:Generic
      common:Formula
          common:DivergentFormula
              reb:REB_Gopalsamy3

class 
DivergentFormula:REB_Gopalsamy3

Gopalsamy3 with Fractint style bailout options.

The default drawing method is multi-pass linear and periodicity checking is off. The formula comes from the Fractint formulas of Ron Barnett

Ultra Fractal Source

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 class REB_Gopalsamy3(common.ulb:DivergentFormula) {
 ; Gopalsamy3 with Fractint style bailout options. <br>
 ; <p>
 ; The default drawing method is multi-pass linear and periodicity checking
 ; is off. The formula comes from the Fractint formulas of Ron Barnett
 public:
   import "common.ulb"
 
   complex func Init(complex pz)
     DivergentFormula.Init(pz)
     return pz
   endfunc
 
   ; call for every iterated point
   complex func Iterate(complex pz)
     DivergentFormula.Iterate(pz)
     float x = real(pz)
     float y = imag(pz)
     complex x1 = 3*x*y*y - x*x*x + @seed
     y = y*y*y - 3*x*x*y
     return  x1 + flip(y)
 
   endfunc
 
   ; Override the default function for bailout
   bool func IsBailedOut(complex pz)
     bool bail = false
     if @test == 0
       bail = (|pz| > @p_bailout)
     elseif @test == 1
       bail = (sqr(real(pz)) > @p_bailout)
     elseif @test == 2
       bail = (sqr(imag(pz)) > @p_bailout)
     elseif @test == 3
       bail = (sqr(real(pz)) > @p_bailout || sqr(imag(pz)) > @p_bailout)  
     elseif @test == 4
       bail = (sqr(real(pz)) > @p_bailout && sqr(imag(pz)) > @p_bailout)  
     elseif @test == 5
       bail = (sqr(abs(real(pz)) + abs(imag(pz))) > @p_bailout)
     elseif @test == 6
       bail = (sqr(real(pz) + imag(pz)) > @p_bailout)
     endif
     return bail
   endfunc
 
 default:
   title = "Gopalsamy 3"
   int param v_gopalsamy3
     caption = "Version (gopalsamy 3)"
     default = 101
     hint = "This version parameter is used to detect when a change has been made to the formula that is incompatible with the previous version. When that happens, this field will reflect the old version number to alert you to the fact that an alternate rendering is being used."
     visible = @v_gopalsamy3 < 101
   endparam
   param test
     caption = "Bailout Test"
     default = 0
     enum = "mod" "real" "imag" "or" "and" "manh" "manr"
     hint = "mod is the standard bailout. The remaining bailout methods are \
             from Fractint."
   endparam
   float param p_bailout ; Overrides p_bailout from DivergentFormula
     caption = "Bailout value"
     default = 10000.0
     min = 1.0
     hint = "Use a value of 4 if the bailout test is other than mod."
   endparam
   complex param seed
     caption = "Julia seed"
     default = (0.7875,-0.09375)
     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
   complex param p_power ; Overrides p_power from Formula
     caption = "Power"
     default = (2,0)
     visible = false
   endparam
 }
 

Constructor Summary

REB_Gopalsamy3()

Method Summary

complex	Init(complex pz) Set up for a sequence of values
boolean	IsBailedOut(complex pz) Override the default function for bailout
complex	Iterate(complex pz) call for every iterated point

Methods inherited from class common:DivergentFormula

GetUpperBailout

Methods inherited from class common:Formula

GetLowerBailout, GetPrimaryExponent

Methods inherited from class common:Generic

GetParent

Methods inherited from class Object

Constructor Detail

REB_Gopalsamy3

public REB_Gopalsamy3()

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)

call for every iterated point

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

IsBailedOut

public boolean IsBailedOut(complex pz)

Override the default function for bailout

Overrides:

IsBailedOut in class DivergentFormula

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)