## ck Class BlendFormula

```Object
common:Generic
common:Formula
ck:ckFormulaObject
ck:BlendFormula
```

`class ckFormulaObject:BlendFormula`

This Formula let you choose 2 Fractal Formulas, and blend them with this formula you can transform any fractal into any other the only thing you should be aware is that mixing Divergent and Convergent can lead to problems ... christian kleinhuis 2008 visit: fractalforums.com fractalmovies.com

Ultra Fractal Source
``` class BlendFormula(ck.ulb:ckFormulaObject) {
;

; This Formula let you choose 2 Fractal Formulas,
; and blend them with this formula you can transform any fractal into any other
; the only thing you should be aware is that mixing Divergent and Convergent
; can lead to problems ...
; christian kleinhuis 2008
; visit:
; fractalforums.com
; fractalmovies.com
;
public:
import "Common.ulb"
import "Standard.ulb"
complex func Init(complex pz)
interpolator=new @Interpolator(this);
f[0]=new @formulaClass1(this)
f[1]=new @formulaClass2(this)
z1=f[1].Init(pz);
z0= f[0].Init(pz);
return interpolator.Interpolate(@blend,z0,z1)
endfunc

; @return the primary exponent parameter
complex func GetPrimaryExponent()
e1=f[0].GetPrimaryExponent()
e2=f[1].GetPrimaryExponent()

if cabs(e1)>cabs(e2)
return e1
else
return e2
endif
endfunc
complex func Iterate(complex pz)

if(@blend==0)
return f[0].Iterate(pz)

elseif (@blend==1)
return f[1].Iterate(pz)

else

return interpolator.Interpolate(@blend,f[0].Iterate(pz),f[1].Iterate(pz))
endif
endfunc

bool func IsBailedOut(complex pz)
return f[0].IsBailedOut(pz) ||f[1].IsBailedOut(pz)
endfunc
private:
Formula f[2];
ComplexInterpolator interpolator;
default:
title = "Blend Formula"
rating = recommended
Formula param formulaClass1
caption = "First Formula"
default = Standard_Mandelbrot
endparam
Formula param formulaClass2
caption = "Second Formula"
default = Standard_Mandelbrot
endparam

ComplexInterpolator param interpolator
default= ComplexInterpolator
endparam

float param blend
caption = "Blend"
default = 0.5
endparam
}
```

Constructor Summary
`BlendFormula()`

Method Summary
` complex` `GetPrimaryExponent()`
Determine the primary exponent.
` 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:Formula
`GetLowerBailout, GetUpperBailout`

Methods inherited from class common:Generic
`GetParent`

Methods inherited from class Object

Constructor Detail

### BlendFormula

`public BlendFormula()`
Method Detail

### Init

`public complex Init(complex pz)`
Description copied from class: `Formula`
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 `Formula`
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

### GetPrimaryExponent

`public complex GetPrimaryExponent()`
Description copied from class: `Formula`
Determine the primary exponent.

Many fractals can be characterized by an exponent value that is useful to other formulas, so we provide that here. If your formula does not need or use this value, override the p_power parameter and make it hidden.

Overrides:
`GetPrimaryExponent` in class `Formula`
Returns:
the primary exponent parameter

### 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

### IsBailedOut

`public boolean IsBailedOut(complex pz)`
Description copied from class: `Formula`
Test whether the formula has bailed out (i.e. the sequence is complete)

This is typically called once per iteration to test whether the sequence has completed. If producing this result is difficult to do separately from the Iterate() processing, you should produce the result in Iterate() and set the m_BailedOut flag appropriately, and leave IsBailedOut() unimplemented in your class to inherit this behavior.

Note that this test is the OPPOSITE sense of the bailout: section in UF's fractal formulas. A bailout: section returns TRUE to continue iterating. IsBailedOut() must return FALSE to continue iterating.

Overrides:
`IsBailedOut` in class `Formula`
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)