Algorithms for Cycloids

Equivalent point within the Fundamental Parallelogram together with all its points.

Which point (u,v) within the Fundamental Parallelogram is equivalent to (x,y) (together with an enumeration of all its points)?

cycloid parameters:

Alpha:    
Beta:      
Gamma:
Delta:     
x:
y:
(no blank between minus sign and numeral)
Example:     Fundamental Parallelogram of the Cycloid C(alpha,beta,gamma,delta) = C(3,4,2,5) with equivalent points (u,v) = (3,0) inside and (x,y) = (1,-5) outside.

Generated using the tool 'Cycloids Charasteristics' by Peter Langner.
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