reb
Class REB_TrapShapeCircleCatacaustic

Object
  common:Generic
      common:TrapShape
          reb:REB_TrapShapeCircleCatacaustic

class 
TrapShape:REB_TrapShapeCircleCatacaustic

This shape uses the circle catacaustic function.

This variant of the function has a signed and absolute value version of the distance. The function also has a complex conjugate. The transformed value is the complex return value of the function.

Ultra Fractal Source

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 class REB_TrapShapeCircleCatacaustic(common.ulb:TrapShape) {
  ; This shape uses the circle catacaustic function.<br>
  ; <p>
  ; This variant of the function has a signed and absolute value
  ; version of the distance. The function also has a complex conjugate.
  ; The transformed value is the complex return value of the function.
  public:
    import "common.ulb"
 
 ; Constructor
    func REB_TrapShapeCircleCatacaustic(Generic pparent)
      TrapShape.TrapShape(pparent)
    endfunc
    
   ; Call this for each iteration being trapped.
    float func Iterate(complex pz)
     TrapShape.Iterate(pz)
     int sgn = 1
     if @sgn
       sgn = -1
     endif
      float theta = 0
      float d =  0
      float af1 = 0
      float af2 = 0
      complex as = 0
      theta = atan2(pz)
      af1 = 2*@b*(1-3*2*@b*cos(theta)+2*2*@b*cos(theta)^3)/(-(1+2*(2*@b)^2)+3*2*@b*cos(theta))
      af2 = 2*(2*@b)^2*sin(theta)^3/(1+2*(2*@b)^2-3*2*@b*cos(theta))
      as = @a*(af1 + sgn*flip(af2))
      if @absval
        d = abs(cabs(pz) - cabs(as))
      else
        d = cabs(pz - (as))
      endif
      m_LastZ = as
      return d
    endfunc
    
  default:
    title = "Circle Catacaustic"
   int param v_trapshapecirclecatacaustic
     caption = "Version (Trap Shape Circle Catacaustic)"
     default = 101
     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_trapshapecirclecatacaustic < 101
   endparam
    
    float param a
      caption = "Polar parameter"
      default = 0.2
      hint = "Affects spread and scale of trap"
    endparam
    float param b
      caption = "2nd Polar parameter"
      default = 1.0
      hint = "Affects spread and scale of trap"
    endparam
    bool param sgn
      caption = "Conjugate transform"
      default = false
    endparam
    param absval
      caption = "Absolute Value"
      default = false
    endparam
  }
 

Constructor Summary

REB_TrapShapeCircleCatacaustic()

REB_TrapShapeCircleCatacaustic(Generic pparent)
Constructor

Method Summary

float

Iterate(complex pz) Call this for each iteration being trapped.

Methods inherited from class common:TrapShape

GetColorChannel, GetTextureValue, GetTransformedPoint, Init, IterateSilent, SetThreshold

Methods inherited from class common:Generic

GetParent

Methods inherited from class Object

Constructor Detail

REB_TrapShapeCircleCatacaustic

public REB_TrapShapeCircleCatacaustic(Generic pparent)

Constructor

REB_TrapShapeCircleCatacaustic

public REB_TrapShapeCircleCatacaustic()

Method Detail

Iterate

public float Iterate(complex pz)

Call this for each iteration being trapped.

Overrides:

Iterate in class TrapShape