ApCoCoA-1:Fn.ReduceModPi: Difference between revisions

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<command>
<command>
   <title>Fn.ReduceModPi</title>
   <title>Fn.ReduceModPi</title>
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</example>
</example>
</description>
</description>
<see> Fn.ReduceModLn2</see>
<see>ApCoCoA-1:Fn.ReduceModLn2|Fn.ReduceModLn2</see>
<see> Fn.SetAccuracy</see>
<see>ApCoCoA-1:Fn.SetAccuracy|Fn.SetAccuracy</see>
<see> Fn.GetAccuracy</see>
<see>ApCoCoA-1:Fn.GetAccuracy|Fn.GetAccuracy</see>
<key>Fn.ReduceModPi</key>
<key>Fn.ReduceModPi</key>
<key>elemfns.ReduceModPi</key>
<key>elemfns.ReduceModPi</key>
<key>ReduceModPi</key>
<key>ReduceModPi</key>
<wiki-category>Package_elemfns</wiki-category>
<wiki-category>ApCoCoA-1:Package_elemfns</wiki-category>
</command>
</command>

Latest revision as of 10:04, 7 October 2020

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