reb
Class REB_3RDIMMagnet1
Object
common:Generic
common:Formula
common:ConvergentDivergentFormula
reb:REB_3RDIMMagnet1
class
- ConvergentDivergentFormula:REB_3RDIMMagnet1
Ultra Fractal Source
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class REB_3RDIMMagnet1(common.ulb:ConvergentDivergentFormula) {
;
public:
; constructor
func REB_3RDIMMagnet1(Generic pparent)
ConvergentDivergentFormula.ConvergentDivergentFormula(pparent)
endfunc
; initialize the formula
complex func Init(complex pz)
ConvergentDivergentFormula.Init(pz)
complex z2 = pz
pz = 0
m_c = @p2+real(z2)+flip(imag(z2)*@p1)
return pz
endfunc
; call for each iterated point
complex func Iterate(complex pz)
ConvergentDivergentFormula.Iterate(pz)
return sqr( (pz^2 + m_c - 1) / (2*pz + m_c - 2) )
endfunc
; Override the default function for bailout
bool func IsBailedOut(complex pz)
return |pz| >= @p_upperbailout || |pz - 1| <= @p_lowerbailout
endfunc
private:
complex m_c
default:
title = "3RDIM Magnet 1"
int param v_3RDIMMagnet1
caption = "Version (3RDIM Magnet 1)"
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_3RDIMMagnet1< 100
endparam
heading
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."
endheading
param start
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
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 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 = 0.00001
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
}
Methods inherited from class Object |
|
REB_3RDIMMagnet1
public REB_3RDIMMagnet1(Generic pparent)
- constructor
REB_3RDIMMagnet1
public REB_3RDIMMagnet1()
Init
public complex Init(complex pz)
- initialize the formula
- 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)
- call for each iterated point
- 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)
- Override the default function for bailout
- 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)