ApCoCoA-1:Fn.ReduceModPi

From ApCoCoAWiki
This article is about a function from ApCoCoA-1.

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]
-------------------------------

Fn.ReduceModLn2

Fn.SetAccuracy

Fn.GetAccuracy