reb
Class REB_HyperbolicMapping

Object
  common:Generic
      common:Transform
          common:UserTransform
              reb:REB_HyperbolicMapping

class 
UserTransform:REB_HyperbolicMapping

Hyperbolic mapping onto a sphere.

Ultra Fractal Source

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 class REB_HyperbolicMapping(common.ulb:UserTransform) {
 ; Hyperbolic mapping onto a sphere. <br>
 public:
 
    ; constructor
    func REB_HyperbolicMapping(Generic pparent)
      UserTransform.UserTransform(pparent)
    endfunc
 
    ; initialize the objects
    func Init(complex pz)
       UserTransform.Init(pz)
    endfunc
 
   ; call for each iterated point
   complex func Iterate(complex pz)
     UserTransform.Iterate(pz)
     complex p = 0
     if (|pz| <= @rad^2)
       if @view == "Bottom"
         p = (pz)/(sqrt(@rad^2 -|pz|))
       else
         p = (pz)/(sqrt(@rad^2 +|pz|))
       endif
     else
       m_solid = true
     endif
     if @scmag
       p = p*4/#magn/@scale
     else
       p = p*4/@scale
     endif
     return p
   endfunc
 
 default:
   title = "Hyperbolic Mapping"
   int param v_hyperbolicmapping
     caption = "Version (Hyperbolic Mapping)"
     default = 102
     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_hyperbolicmapping < 102
   endparam
   param view
     caption = "view"
     enum = "Bottom" "Top"
     default = 0
   endparam
   param rad
     caption = "Radius"
     default = 1.0
   endparam
   param scale
     caption = "Scale fractal"
     default = 1.0
   endparam
   bool param scmag
     caption = "Scale to magn"
     default = true
   endparam
 }
 

Constructor Summary

REB_HyperbolicMapping()

REB_HyperbolicMapping(Generic pparent)
constructor

Method Summary

void	Init(complex pz) initialize the objects
complex	Iterate(complex pz) call for each iterated point

Methods inherited from class common:Transform

IsSolid, IterateSilent

Methods inherited from class common:Generic

GetParent

Methods inherited from class Object

Constructor Detail

REB_HyperbolicMapping

public REB_HyperbolicMapping(Generic pparent)

constructor

REB_HyperbolicMapping

public REB_HyperbolicMapping()

Method Detail

Init

public void Init(complex pz)

initialize the objects

Overrides:

Init in class Transform

Parameters:

pz - the value representing the sequence; for a normal transformation formula use, this will be #pixel. In some cases this may differ from the first value passed to Iterate() if the calling code applies some other transformations.

Iterate

public complex Iterate(complex pz)

call for each iterated point

Overrides:

Iterate in class Transform

Parameters:

pz - the complex value to be transformed

Returns:

the transformed value