reb Class REB_TrapShapeWitchOfAgnesi

```Object
common:Generic
common:TrapShape
reb:REB_TrapShapeWitchOfAgnesi
```

`class TrapShape:REB_TrapShapeWitchOfAgnesi`

This shape uses the witch of Agnesi 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_TrapShapeWitchOfAgnesi(common.ulb:TrapShape) {
; This shape uses the witch of Agnesi 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_TrapShapeWitchOfAgnesi(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
theta = atan2(pz)
int sgn = 1
if @sgn
sgn = -1
endif
complex af1 = 2*cotan(theta)
complex af2 = 1-cos(2*theta)
complex as = 0.1*@a*(af1 + sgn*flip(af2))
m_LastZ = as
if @absval
d = abs(cabs(pz) - cabs(as))
else
d = cabs(pz - (as))
endif
return d
endfunc

default:
title = "Witch of Agnesi"
int param v_trapshapewitchofagnesi
caption = "Version (Trap Shape Witch Of Agnesi)"
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_trapshapewitchofagnesi < 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
}
```

Constructor Summary
`REB_TrapShapeWitchOfAgnesi()`

`REB_TrapShapeWitchOfAgnesi(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_TrapShapeWitchOfAgnesi

`public REB_TrapShapeWitchOfAgnesi(Generic pparent)`
Constructor

REB_TrapShapeWitchOfAgnesi

`public REB_TrapShapeWitchOfAgnesi()`
Method Detail

Iterate

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

Overrides:
`Iterate` in class `TrapShape`