## reb Class REB_3RDIMFrame_Robert

```Object
common:Generic
common:Formula
common:DivergentFormula
reb:REB_3RDIMFrame_Robert
```

`class DivergentFormula:REB_3RDIMFrame_Robert`

Ultra Fractal Source
``` class REB_3RDIMFrame_Robert(common.ulb:DivergentFormula) {
public:
import "common.ulb"

; constructor
func REB_3RDIMFrame_Robert(Generic pparent)
DivergentFormula.DivergentFormula(pparent)
endfunc

; initialize the formula
complex func Init(complex pz)
DivergentFormula.Init(pz)
complex z2 = pz
pz=@p1*real(z2)+flip(imag(z2))
m_c=@p2+real(z2)+flip(imag(z2)*@p1)
return pz
endfunc

; call for each iterated point
complex func Iterate(complex pz)
DivergentFormula.Iterate(pz)
return pz^3/5 + pz^2 + m_c
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

protected:
complex m_c

default:
title = "3RDIM Frame-Robert"
int param v_3RDIMFrame_Robert
caption = "Version (3RDIM Frame-Robert)"
default = 100
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_3RDIMFrame_Robert < 100
endparam
text = "Most Mandelbrot-type formulas initialize in the z plane and iterate \
in the c plane. Gordon Lamb proposed a geometry which involves iteration \
in the zc plane (type SJ) or in the cz plane (type 3RDIM). A 'Plane \
hybridization' value of zero gives pure zc or cz iteration, while a \
'Plane hybridization' value of one gives the classical c plane iteration. \
Intermediate values can produce very interesting results."
float param p1
caption = "Plane hybridization"
default = 0.5
min = 0
max = 1
endparam
param p2
caption = "Iteration Plane position"
default = (0.0,0.0)
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 p_power ; Overrides p_power from Formula
caption = "Power"
default = (2,0)
visible = false
endparam
}
```

Constructor Summary
`REB_3RDIMFrame_Robert()`

`REB_3RDIMFrame_Robert(Generic pparent)`
constructor

Method Summary
` complex` `Init(complex pz)`
initialize the formula
` boolean` `IsBailedOut(complex pz)`
Override the default function for bailout
` complex` `Iterate(complex pz)`
call for each 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_3RDIMFrame_Robert

`public REB_3RDIMFrame_Robert(Generic pparent)`
constructor

### REB_3RDIMFrame_Robert

`public REB_3RDIMFrame_Robert()`
Method Detail

### Init

`public complex Init(complex pz)`
initialize the formula

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 each 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)