# 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...) |
|||

Line 26: | Line 26: | ||

<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] -------------------------------