Difference between revisions of "ApCoCoA-1:Fn.ReduceModPi"

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(New page: <command> <title>Fn.ReduceModPi</title> <short_description>Reduces a given value modulo 2*pi to the interval between -pi and pi.</short_description> <syntax> Fn.ReduceModPi(Val:RAT,Acc...)
 
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<see>  Fn.GetAccuracy</see>
 
<see>  Fn.GetAccuracy</see>
 
<key>Fn.ReduceModPi</key>
 
<key>Fn.ReduceModPi</key>
<key>apcocoa/elemfns.ReduceModPi</key>
+
<key>elemfns.ReduceModPi</key>
 
<key>ReduceModPi</key>
 
<key>ReduceModPi</key>
 
<wiki-category>Package_elemfns</wiki-category>
 
<wiki-category>Package_elemfns</wiki-category>
 
</command>
 
</command>

Revision as of 14:18, 4 May 2011

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