Complex Functions Support
ComplexFunctions is a FunctionSet of commonly used Fractal Science Kit fractal generator complex functions of 1 argument. Many of the built-in programs include ComplexFunctions in the properties section of the program instructions to define 1 or more Function Proxy Options.
ComplexFunctions is defined in the built-in macros as:
#define ComplexFunctions
functionSet ComplexFunctions {
Ident
ReflectAboutXAxis ReflectAboutYAxis
ReflectAboutPositiveDiagonal ReflectAboutNegativeDiagonal
ReflectAboutUnitCircle
Rotate90 Rotate180 Rotate270
Pow2 Pow3 Pow4 Pow5 Pow6
Recip Recip2 Recip3 Recip4 Recip5 Recip6
Sqrt Root3 Root4 Root5 Root6
Exp Log Cis
Sin Cos Tan Sec Csc Cot
Sinh Cosh Tanh Sech Csch Coth
Asin Acos Atan Asec Acsc Acot
Asinh Acosh Atanh Asech Acsch Acoth
Versin Covers Haversin Hacovers
Versinh Coversh Haversinh Hacoversh
Sinc Tanc Sinhc Tanhc
Arsh Arch Arth
Sigmoid Logit
Expm1 Log1p
Bifurcate Cardioid Convex Cayley Poisson
Airfoil Airfoil2 Bipole Dipole
Gudermannian AGudermannian
CpxF1 CpxF2 CpxF3 CpxF4 CpxF5
CpxF6 CpxF7 CpxF8 CpxF9 CpxF10
CpxF11 CpxF12 CpxF13 CpxF14 CpxF15
CpxF16 CpxF17 CpxF18 CpxF19 CpxF20
CpxF21 CpxF22 CpxF23 CpxF24 CpxF25
CpxF26 CpxF27 CpxF28 CpxF29 CpxF30
CpxF31 CpxF32 CpxF33 CpxF34 CpxF35
CpxF36 CpxF37 CpxF38 CpxF39 CpxF40
CpxF41 CpxF42 CpxF43 CpxF44 CpxF45
CpxF46 CpxF47 CpxF48 CpxF49 CpxF50
CpxF51 CpxF52 CpxF53 CpxF54 CpxF55
CpxF56 CpxF57 CpxF58 CpxF59 CpxF60
CpxF61 CpxF62 CpxF63 CpxF64 CpxF65
CpxF66 CpxF67 CpxF68 CpxF69 CpxF70
CpxF71 CpxF72 CpxF73 CpxF74 CpxF75
CpxF76 CpxF77 CpxF78 CpxF79 CpxF80
ZTrans1 ZTrans2 ZTrans3 ZTrans4 ZTrans5
ZTrans6 ZTrans7 ZTrans8 ZTrans9 ZTrans10
ZTrans11 ZTrans12 ZTrans13 ZTrans14 ZTrans15
ZTrans16 ZTrans17 ZTrans18 ZTrans19 ZTrans20
ZTrans21 ZTrans22 ZTrans23 ZTrans24 ZTrans25
ZTrans26 ZTrans27 ZTrans28 ZTrans29 ZTrans30
ZTrans31 ZTrans32 ZTrans33 ZTrans34 ZTrans35
ZTrans36 ZTrans37 ZTrans38 ZTrans39 ZTrans40
ZTrans41 ZTrans42 ZTrans43 ZTrans44 ZTrans45
ZTrans46 ZTrans47 ZTrans48 ZTrans49 ZTrans50
}
#end
The following is an example that uses ComplexFunctions to define a function proxy F:
properties:
#include ComplexFunctions
option F {
type = ComplexFunctions
caption = "f(z)"
default = Ident
}
This results in the function proxy F as shown below:
