Standard
Class Standard_PhoenixJulia
Object
common:Generic
common:Formula
common:DivergentFormula
Standard:Standard_PhoenixJulia
class
- DivergentFormula:Standard_PhoenixJulia
Object version of PhoenixJulia in Standard.ufm.
Phoenix fractal type discovered by Shigehiro Ushiki. The
general equation is of the form
z(n+1) = z(n)^a + c*z(n)^b + p*z(n-1)
If a=2 and b=0 (classic Phoenix) then this type will
work with the Smooth and Triangle Inequality coloring
algorithms.
Originally written by Damien M. Jones.
Ultra Fractal Source
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class Standard_PhoenixJulia(common.ulb:DivergentFormula) {
;
; Object version of PhoenixJulia in Standard.ufm.
;
; Phoenix fractal type discovered by Shigehiro Ushiki. The
; general equation is of the form
;
; z(n+1) = z(n)^a + c*z(n)^b + p*z(n-1)
;
; If a=2 and b=0 (classic Phoenix) then this type will
; work with the Smooth and Triangle Inequality coloring
; algorithms.
;
; Originally written by Damien M. Jones.
;
public:
complex func Init(complex pz)
fY = (0, 0)
return pz
endfunc
complex func Iterate(complex pz)
complex newz = pz^@p_power + pz^@power2 * @seed + @induct * fY
fY = pz
return newz
endfunc
private:
complex fY
default:
title = "Phoenix (Julia)"
helpfile = "Uf*.chm"
helptopic = "Html/formulas/standard/phoenix.html"
rating = recommended
param seed
caption = "Julia Seed"
default = (0.56667,0)
hint = "This is the Julia seed, a constant parameter which \
defines the shape of the fractal. Use the Explore or Eyedropper \
features to find interesting values for this parameter."
endparam
param p_power ; Overrides p_power from Formula
caption = "Exponent 1"
default = (2,0)
hint = "Defines the primary exponent for the fractal. The classic \
Phoenix curve uses exponent (2, 0)."
endparam
param power2
caption = "Exponent 2"
default = (0,0)
hint = "Defines the secondary exponent for the fractal. The classic \
Phoenix curve uses exponent (0, 0)."
endparam
param induct
caption = "Distortion"
default = (-0.5,0)
hint = "Sets how 'strong' the previous iteration's effect should be \
on the fractal."
endparam
param p_bailout ; Overrides p_bailout from DivergentFormula
caption = "Bailout"
default = 1.0e20
exponential = true
hint = "This parameter defines how soon an orbit bails out while \
iterating. Larger values will give smoother outlines."
endparam
}
| Methods inherited from class Object |
|
Standard_PhoenixJulia
public Standard_PhoenixJulia()
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