reb Class REB_TrapShapeCycloid

Object common:Generic common:TrapShape reb:REB_TrapShapeCycloid

class
TrapShape:REB_TrapShapeCycloid

This shape uses the cycloid 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
class REB_TrapShapeCycloid(common.ulb:TrapShape) {
; This shape uses the cycloid 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_TrapShapeCycloid(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
float rr = 0
theta = atan2(pz)
int sgn = 1
if @sgn
sgn = -1
endif
rr = cabs(pz)
if @absval
d = abs(cabs(pz) - cabs(rr*(theta-sin(theta) + sgn*flip(rr*(1-cos(theta))))))
else
d = cabs(pz - (rr*(theta-sin(theta) + sgn*flip(rr*(1-cos(theta))))))
endif
m_LastZ = (rr*(theta-sin(theta) + sgn*flip(rr*(1-cos(theta)))))
return d
endfunc

default:
title = "Cycloid"
int param v_trapshapecycloid
caption = "Version (Trap Shape Cycloid)"
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_trapshapecycloid < 101
endparam
bool param sgn
caption = "Conjugate transform"
default = false
endparam
param absval
caption = "Absolute Value"
default = false
endparam
}

Constructor Summary
REB_TrapShapeCycloid()

REB_TrapShapeCycloid(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_TrapShapeCycloid

public REB_TrapShapeCycloid(Generic pparent)
Constructor

REB_TrapShapeCycloid

public REB_TrapShapeCycloid()
Method Detail

Iterate

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

Overrides:
Iterate in class TrapShape