reb
Class REB_TrapShapeCycloid

Object
  extended by common:Generic
      extended by common:TrapShape
          extended by reb:REB_TrapShapeCycloid

class 
TrapShape:REB_TrapShapeCycloid

This shape uses the cycloid function.

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


Ultra Fractal Source

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 class REB_TrapShapeCycloid(common.ulb:TrapShape) {
  ; This shape uses the cycloid 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 variant.
  ; The transformed value is the complex return value of the function.
  public:
    import "common.ulb"
 
 ; Constructor
    func REB_TrapShapeCycloid(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
      float rr = 0
      theta = atan2(pz)
     int sgn = 1
     if @sgn
       sgn = -1
     endif
      rr = cabs(pz)
      if @absval
        d = abs(cabs(pz) - cabs(rr*(theta-sin(theta) + sgn*flip(rr*(1-cos(theta))))))
      else
        d = cabs(pz - (rr*(theta-sin(theta) + sgn*flip(rr*(1-cos(theta))))))
      endif
      m_LastZ = (rr*(theta-sin(theta) + sgn*flip(rr*(1-cos(theta)))))
      return d
    endfunc
    
  default:
    title = "Cycloid"
   int param v_trapshapecycloid
     caption = "Version (Trap Shape Cycloid)"
     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_trapshapecycloid < 101
   endparam
    bool param sgn
      caption = "Conjugate transform"
      default = false
    endparam
    param absval
      caption = "Absolute Value"
      default = false
    endparam
  }
 


Constructor Summary
REB_TrapShapeCycloid()
           
REB_TrapShapeCycloid(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_TrapShapeCycloid

public REB_TrapShapeCycloid(Generic pparent)
Constructor


REB_TrapShapeCycloid

public REB_TrapShapeCycloid()
Method Detail

Iterate

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

Overrides:
Iterate in class TrapShape