reb
Class REB_TrapShapeCayleysSextic

Object
  common:Generic
      common:TrapShape
          reb:REB_TrapShapeCayleysSextic

class 
TrapShape:REB_TrapShapeCayleysSextic

This shape uses the Cayley's sextic function.

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

Ultra Fractal Source

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 class REB_TrapShapeCayleysSextic(common.ulb:TrapShape) {
  ; This shape uses the Cayley's sextic 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 and a
  ; polar variant. The transformed value is the complex return value of the function.
  public:
    import "common.ulb"
 
 ; Constructor
    func REB_TrapShapeCayleysSextic(Generic pparent)
      TrapShape.TrapShape(pparent)
    endfunc
    
   ; Call this for each iteration being trapped.
    float func Iterate(complex pz)
     TrapShape.Iterate(pz)
      float theta = 0
      float d =  0
      theta = atan2(pz)
     int sgn = 1
     if @sgn
       sgn = -1
     endif
      float rr = 1.5*@a*cos(theta)^3
      if !@ptraps
        if @absval
          d = abs(cabs(pz) - cabs(rr*cos(theta)+ sgn*flip(rr*sin(theta))))
        else
          d = cabs(pz - (rr*cos(theta) + sgn*flip(rr*sin(theta))))
        endif
        m_LastZ = (rr*cos(theta) + sgn*flip(rr*sin(theta)))
      else
        float x = real(pz)
        float y = imag(pz)
        if @disttype == 0
          d = abs(x-rr*cos(theta) + y-rr*sin(theta))
        else
          d = (abs(x-rr*cos(theta)) + abs(y-rr*sin(theta)))
        endif
        m_LastZ = x-rr*cos(theta) + flip(y-rr*sin(theta))
      endif
      return d
    endfunc
    
  default:
    title = "Cayley's Sextic"
   int param v_trapshapecayleyssextic
     caption = "Version (Trap Shape Cayley's Sextic)"
     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_trapshapecayleyssextic < 101
   endparam
   bool param ptraps
     caption = "Use as Polar Traps"
     default = false
   endparam
   param disttype
     caption = "Distance type"
     default = 0
     enum = "Abs total" "Abs parts"
     visible = @ptraps
     hint = "The distance function must be positive. \
             The absolute value can be taken of the \
             whole function or of its individual parts."
   endparam
    float param a
      caption = "Polar parameter"
      default = 0.2
      hint = "Affects spread and scale of trap"
    endparam
    bool param sgn
      caption = "Conjugate transform"
      default = false
      visible = !@ptraps
    endparam
    param absval
      caption = "Absolute Value"
      default = false
      visible = !@ptraps
    endparam
  }
 

Constructor Summary

REB_TrapShapeCayleysSextic()

REB_TrapShapeCayleysSextic(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_TrapShapeCayleysSextic

public REB_TrapShapeCayleysSextic(Generic pparent)

Constructor

REB_TrapShapeCayleysSextic

public REB_TrapShapeCayleysSextic()

Method Detail

Iterate

public float Iterate(complex pz)

Call this for each iteration being trapped.

Overrides:

Iterate in class TrapShape