reb Class REB_TrapShapeBicuspid

Object common:Generic common:TrapShape reb:REB_TrapShapeBicuspid

class
TrapShape:REB_TrapShapeBicuspid

This shape uses the bicuspid 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
class REB_TrapShapeBicuspid(common.ulb:TrapShape) {
; This shape uses the bicuspid 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_TrapShapeBicuspid(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 y = imag(pz)
float qx = 0
float qb = -2*(0.05*@b)^2
float qc = (0.05*@b)^4 - (y^2 - (0.05*@b)^2)^2
if @negroot
qx = ((-qb - (qb^2 - 4*qc)^0.5)/(2))^0.5
else
qx = ((-qb + (qb^2 - 4*qc)^0.5)/(2))^0.5
endif
if @absval
d = abs(cabs(pz) - cabs(2.25*@a*(qx + sgn*flip(y))))
else
d = cabs(pz - 2.25*@a*(qx + sgn*flip(y)))
endif
m_LastZ = 2.25*@a*(qx + sgn*flip(y))
return d
endfunc

default:
title = "Bicuspid"
int param v_trapshapebicuspid
caption = "Version (Trap Shape Bicuspid)"
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_trapshapebicuspid < 101
endparam

float param a
caption = "Polar parameter"
default = 0.2
hint = "Affects spread and scale of trap"
endparam

float param b
caption = "2nd Polar parameter"
default = 1.0
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 = false
endparam
}

Constructor Summary
REB_TrapShapeBicuspid()

REB_TrapShapeBicuspid(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_TrapShapeBicuspid

public REB_TrapShapeBicuspid(Generic pparent)
Constructor

REB_TrapShapeBicuspid

public REB_TrapShapeBicuspid()
Method Detail

Iterate

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

Overrides:
Iterate in class TrapShape