Shading by Argument
The value of the argument of a complex-valued function can be used for setting the color hue in an image.
Improved performance of hardware precision complex numbers allows the hyperbolic arctrig functions arctanh and arcsinh to perform significantly faster in this application under Maple 17.
exp(1/z) 1/(1-z) 1/(1-z) 50 terms tanh(1/z) sin(1/z) z^5 arcsinh(1-1/z) arctanh(1-1/z)
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