Transformation Functions 

Transformation Functions SupportEvery program has a property named Add Trans Array that can be checked to add a Transformation Array editor as one of the program's properties pages. Users can add 1 or more Transformations to the editor and your program can access the transformations using the Transformation functions. The following Fractal Science Kit fractal generator functions provide access to these transformation: Complex Transformation.Count() Transformation.Count returns the number of transformations in the array of transformations. Transformation.Apply applies the transformation given by index to the complex value z and returns the resulting transformed value. The index argument is an index into the array of transformations. The transformations in the array correspond to index values 0 to Transformation.Count()1. If index is outside this range, the value is wrapped around at each extreme into the valid range. For example, an index value of Transformation.Count() would become 0 when wrapped, and an index value of 1 would become Transformation.Count()1. Transformation.ApplyAll applies each of the transformations in the array to the complex value z, and returns the resulting transformed value. The transformations are applied in series; i.e., the input point is transformed by the 1^{st} transformation in the list and the resulting point is passed to the 2^{nd} transformation, and so on. The result of an in series application of the transformations is a single point. In essence, the in series application treats the array of transformations as a single composite transformation. Example: z = Transformation.Apply(0, z) This example uses transformation 0 (the 1^{st} transformation in the array) to transform the point z. 
Copyright © 20042019 Ross Hilbert 