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
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
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