reb
Class REB_TrapShapeTractrix

Object
  common:Generic
      common:TrapShape
          reb:REB_TrapShapeTractrix

class 
TrapShape:REB_TrapShapeTractrix

This shape uses the tractrix 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_TrapShapeTractrix(common.ulb:TrapShape) {
  ; This shape uses the tractrix 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_TrapShapeTractrix(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
     complex af1 = @a*(log(tan(theta/2))-@afn1(theta))
     complex af2 = @a*@afn2(theta)
     complex as = 0.25*(af1 + sgn*flip(af2))
      m_LastZ = as
      if @absval
        d = abs(cabs(pz) - cabs(as))
      else
        d = cabs(pz - (as))
      endif
      return d
    endfunc
   
  default:
    title = "Tractrix"
   int param v_trapshapetractrix
     caption = "Version (Trap Shape Tractrix)"
     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_trapshapetractrix < 101
   endparam
    
    float param a
      caption = "Polar parameter"
      default = 0.2
      hint = "Affects spread and scale of trap"
    endparam
    func afn1
      caption = "Function #1"
      default = cos()
    endfunc
    func afn2
      caption = "Function #2"
      default = sin()
    endfunc
    bool param sgn
      caption = "Conjugate transform"
      default = false
    endparam
    param absval
      caption = "Absolute Value"
      default = false
    endparam
  }
 

Constructor Summary

REB_TrapShapeTractrix()

REB_TrapShapeTractrix(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_TrapShapeTractrix

public REB_TrapShapeTractrix(Generic pparent)

Constructor

REB_TrapShapeTractrix

public REB_TrapShapeTractrix()

Method Detail

Iterate

public float Iterate(complex pz)

Call this for each iteration being trapped.

Overrides:

Iterate in class TrapShape