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

From ApCoCoAWiki

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− | <see> | + | <see>Fn.SetAccuracy</see> |

− | <see> | + | <see>Fn.GetAccuracy</see> |

<key>Fn.ReduceModPi</key> | <key>Fn.ReduceModPi</key> | ||

<key>elemfns.ReduceModPi</key> | <key>elemfns.ReduceModPi</key> |

## Revision as of 09:09, 5 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] -------------------------------