reb
Class REB_TrapShapeAmpersand

Object
  common:Generic
      common:TrapShape
          reb:REB_TrapShapeAmpersand

class 
TrapShape:REB_TrapShapeAmpersand

This shape uses the ampersand function.

This variant of the ampersand 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_TrapShapeAmpersand(common.ulb:TrapShape) {
  ; This shape uses the ampersand function.<br>
  ; <p>
  ; This variant of the ampersand 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_TrapShapeAmpersand(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
       float x = real(pz)
       float qy = 0
       float qb = 6*x^2 - 3*x - 3
       float qc = 6*x^4 - 13*x^3 + 19*x^2
       if @negroot
         qy = ((-qb - (qb^2 - 16*qc)^0.5)/(8))^0.5
       else
         qy = ((-qb + (qb^2 - 16*qc)^0.5)/(8))^0.5
       endif
       m_LastZ = @a*(x + sgn*flip(qy))
       if @absval
        d = abs(cabs(pz) - cabs(@a*(x + sgn*flip(qy))))
      else
        d = cabs(pz - @a*(x + sgn*flip(qy)))
      endif
      return d
    endfunc
    
  default:
    title = "Ampersand"
   int param v_trapshapeampersand
     caption = "Version (Trap Shape Ampersand)"
     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_trapshapeampersand < 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_TrapShapeAmpersand()

REB_TrapShapeAmpersand(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_TrapShapeAmpersand

public REB_TrapShapeAmpersand(Generic pparent)

Constructor

REB_TrapShapeAmpersand

public REB_TrapShapeAmpersand()

Method Detail

Iterate

public float Iterate(complex pz)

Call this for each iteration being trapped.

Overrides:

Iterate in class TrapShape