reb
Class REB_TrapShapeKnotCurve

Object
  common:Generic
      common:TrapShape
          reb:REB_TrapShapeKnotCurve

class 
TrapShape:REB_TrapShapeKnotCurve

This shape uses the knot curve function.

This variant of the function involves taking a square root so there are two solutions. A signed and absolute value version of the distance is also available. The transformed value is the complex return value of the function.

Ultra Fractal Source

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 class REB_TrapShapeKnotCurve(common.ulb:TrapShape) {
  ; This shape uses the knot curve function.<br>
  ; <p>
  ; This variant of the function involves taking a square root
  ; so there are two solutions. A signed and absolute value version of
  ; the distance is also available. The transformed value is the
  ; complex return value of the function.
  public:
    import "common.ulb"
 
 ; Constructor
    func REB_TrapShapeKnotCurve(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 d = 0
     complex cy = imag(pz)
     complex qx = 0
     complex qa = 1
     complex qb = -2
     complex qc = 1 - 3*cy^2 - 2*cy^3
     if @negroot == true
       qx = ((-qb - (qb^2 - 4*qa*qc)^0.5)/(2*qa))^0.5
     else
       qx = ((-qb + (qb^2 - 4*qa*qc)^0.5)/(2*qa))^0.5
     endif
     if @absval == true
       d = abs(cabs(pz) - cabs(@a*(qx + sgn*flip(cy))))
     else
       d = cabs(pz - @a*(qx + sgn*flip(cy)))
     endif
     m_LastZ = @a*(qx + sgn*flip(cy))
     return d
    endfunc
    
  default:
    title = "KnotCurve"
   int param v_trapshapeknotcurve
     caption = "Version (Trap Shape Knot Curve)"
     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_trapshapeknotcurve < 101
   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
    endparam
    param absval
      caption = "Absolute Value"
      default = false
    endparam
    param negroot
      caption = "Quad Neg Root"
      default = true
    endparam
  }
 

Constructor Summary

REB_TrapShapeKnotCurve()

REB_TrapShapeKnotCurve(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_TrapShapeKnotCurve

public REB_TrapShapeKnotCurve(Generic pparent)

Constructor

REB_TrapShapeKnotCurve

public REB_TrapShapeKnotCurve()

Method Detail

Iterate

public float Iterate(complex pz)

Call this for each iteration being trapped.

Overrides:

Iterate in class TrapShape