## mt Class MT_WheelTransform

```Object
common:Generic
common:Transform
common:UserTransform
mt:MT_WheelTransform
```

`class UserTransform:MT_WheelTransform`

Mark Townsend, May 2008

Ultra Fractal Source
``` class MT_WheelTransform(common.ulb:UserTransform) {
;
; Mark Townsend, May 2008
;
public:
func MT_WheelTransform(Generic pparent)
UserTransform.UserTransform(pparent)
endfunc

complex func Iterate(complex pz)
m_Iterations = m_Iterations + 1
float  outer = @inner + @width
float r = cabs(pz - @center)
if (r > @inner) && (r < outer)
; within the wheel
float theta = atan2(pz - @center)
if theta < 0
theta = theta + 2 * #pi
endif
float outer_dist = abs(outer - r)
float inner_dist = abs(@inner - r)
if outer_dist < inner_dist
float ratio = @width / outer_dist
else
ratio = @width / inner_dist
endif
theta = theta + real(@fn1(@distort / ratio))
float x = r * cos(theta)
float y = r * sin(theta)
return x + flip(y) + @center
else
return pz
endif
endfunc

default:
title = "Wheel"
param inner
caption = "Inner rim"
default = 0.3
endparam
param width
caption = "Width"
default = 0.6
endparam
param center
caption = "Center"
default = (0,0)
endparam
param distort
caption = "Distortion"
default = 2.0
endparam
func fn1
caption = "Function"
default = ident()
endfunc
}
```

Constructor Summary
`MT_WheelTransform()`

`MT_WheelTransform(Generic pparent)`

Method Summary
` complex` `Iterate(complex pz)`
Transform a single point within a sequence

Methods inherited from class common:Transform
`Init, IsSolid, IterateSilent`

Methods inherited from class common:Generic
`GetParent`

Methods inherited from class Object

Constructor Detail

### MT_WheelTransform

`public MT_WheelTransform(Generic pparent)`

### MT_WheelTransform

`public MT_WheelTransform()`
Method Detail

### Iterate

`public complex Iterate(complex pz)`
Description copied from class: `Transform`
Transform a single point within a sequence

After a sequence has been set up with Init(), this function will be called once for each value in the sequence. Note that all values in the sequence must be processed in order (they cannot be processed out of order). If the sequence contains only one value, Init() will still be called and then Iterate() will be called just once.

Overrides:
`Iterate` in class `Transform`
Parameters:
`pz` - the complex value to be transformed
Returns:
the transformed value