Difference between revisions of "ApCoCoA-1:Fn.ReduceModPi"
From ApCoCoAWiki
S schuster (talk | contribs) (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> | + | <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] -------------------------------