ApCoCoA-1:Fn.ReduceModPi
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Fn.ReduceModPi
Reduces a given value modulo 2*pi to the interval between -pi and pi.
Syntax
Fn.ReduceModPi(Val:RAT,Acc:INT):RAT
Description
This function reduces Val modulo 2*pi to the interval
(-pi, pi) thereby guaranteeing correctness of the result
up to the desired accuracy Acc.
@param Val The value to be reduced.
@param Acc The desired accuracy.
@return Returns a pair [R, Q] such that Val = Q*2*pi + R where Q is an integer and R is between -pi and pi.
Example
Dec(Fn.ReduceModPi(10^20, 10), 20) ; [-0.7013521577, 15915494309189533577] -------------------------------
