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<p><b>New page</b></p><div>{{documentation subpage}}<br />
Implements the mathematical [[modulo]] operator. The returned result is always of the same sign as the ''modulus'' or nul, and its absolute value is lower than the absolute value of the ''modulus''. However, this template returns 0 if the ''modulus'' is nul (this template should never return a division by zero error). This template is '''not''' the same as the mod operator in the #expr [[m:Help:ParserFunctions|parser function]].<br />
<br />
; Usage<nowiki>:</nowiki><br />
: <code><nowiki>{{</nowiki>mod|</code>''dividend''<code>|</code>''modulus''<code>}}</code><br />
:: Computes the modulo dynamically.<br />
: <code><nowiki>{{</nowiki>subst:mod|</code>''dividend''<code>|</code>''modulus''<code>|subst=subst:}}</code><br />
:: Substitute the template invokation by its computed value when saving an article wiki source.<br />
<br />
; Examples with positive integer modulus<nowiki>:</nowiki><br />
* <code><nowiki>{{mod|12|10}}</nowiki></code> = {{mod|12|10}}.<br />
* <code><nowiki>{{mod|10.1|10}}</nowiki></code> = {{mod|10.1|10}}.<br />
* <code><nowiki>{{mod|10|10}}</nowiki></code> = {{mod|10|10}}.<br />
* <code><nowiki>{{mod|2|10}}</nowiki></code> = {{mod|2|10}}.<br />
* <code><nowiki>{{mod|0|10}}</nowiki></code> = {{mod|0|10}}.<br />
* <code><nowiki>{{mod|-2|10}}</nowiki></code> = {{mod|-2|10}}.<br />
* <code><nowiki>{{mod|-10|10}}</nowiki></code> = {{mod|-10|10}}.<br />
* <code><nowiki>{{mod|-10.1|10}}</nowiki></code> = {{mod|-10.1|10}}.<br />
* <code><nowiki>{{mod|-12|10}}</nowiki></code> = {{mod|-12|10}}.<br />
<br />
; Examples with negative integer modulus<nowiki>:</nowiki><br />
* <code><nowiki>{{mod|12|-10}}</nowiki></code> = {{mod|12|-10}}.<br />
* <code><nowiki>{{mod|10.1|-10}}</nowiki></code> = {{mod|10.1|-10}}.<br />
* <code><nowiki>{{mod|10|-10}}</nowiki></code> = {{mod|10|-10}}.<br />
* <code><nowiki>{{mod|2|-10}}</nowiki></code> = {{mod|2|-10}}.<br />
* <code><nowiki>{{mod|0|-10}}</nowiki></code> = {{mod|0|-10}}.<br />
* <code><nowiki>{{mod|-2|-10}}</nowiki></code> = {{mod|-2|-10}}.<br />
* <code><nowiki>{{mod|-10|-10}}</nowiki></code> = {{mod|-10|-10}}.<br />
* <code><nowiki>{{mod|-10.1|-10}}</nowiki></code> = {{mod|-10.1|-10}}.<br />
* <code><nowiki>{{mod|-12|-10}}</nowiki></code> = {{mod|-12|-10}}.<br />
<br />
; Examples with positive non integer modulus<nowiki>:</nowiki><br />
* <code><nowiki>{{mod|21.5|10.5}}</nowiki></code> = {{mod|21.5|10.5}}.<br />
* <code><nowiki>{{mod|21.1|10.5}}</nowiki></code> = {{mod|21.1|10.5}}.<br />
* <code><nowiki>{{mod|21|10.5}}</nowiki></code> = {{mod|21|10.5}}.<br />
* <code><nowiki>{{mod|20.9|10.5}}</nowiki></code> = {{mod|20.9|10.5}}.<br />
* <code><nowiki>{{mod|11|10.5}}</nowiki></code> = {{mod|11|10.5}}.<br />
* <code><nowiki>{{mod|10.6|10.5}}</nowiki></code> = {{mod|10.6|10.5}}.<br />
* <code><nowiki>{{mod|10.5|10.5}}</nowiki></code> = {{mod|10.5|10.5}}.<br />
* <code><nowiki>{{mod|10.1|10.5}}</nowiki></code> = {{mod|10.1|10.5}}.<br />
* <code><nowiki>{{mod|10|10.5}}</nowiki></code> = {{mod|10|10.5}}.<br />
* <code><nowiki>{{mod|2|10.5}}</nowiki></code> = {{mod|2|10.5}}.<br />
* <code><nowiki>{{mod|0|10.5}}</nowiki></code> = {{mod|0|10.5}}.<br />
* <code><nowiki>{{mod|-2|10.5}}</nowiki></code> = {{mod|-2|10.5}}.<br />
* <code><nowiki>{{mod|-10|10.5}}</nowiki></code> = {{mod|-10|10.5}}.<br />
* <code><nowiki>{{mod|-10.1|10.5}}</nowiki></code> = {{mod|-10.1|10.5}}.<br />
* <code><nowiki>{{mod|-10.5|10.5}}</nowiki></code> = {{mod|-10.5|10.5}}.<br />
* <code><nowiki>{{mod|-10.6|10.5}}</nowiki></code> = {{mod|-10.6|10.5}}.<br />
* <code><nowiki>{{mod|-11|10.5}}</nowiki></code> = {{mod|-11|10.5}}.<br />
* <code><nowiki>{{mod|-20.9|10.5}}</nowiki></code> = {{mod|-20.9|10.5}}.<br />
* <code><nowiki>{{mod|-21|10.5}}</nowiki></code> = {{mod|-21|10.5}}.<br />
* <code><nowiki>{{mod|-21.1|10.5}}</nowiki></code> = {{mod|-21.1|10.5}}.<br />
* <code><nowiki>{{mod|-21.5|10.5}}</nowiki></code> = {{mod|-21.5|10.5}}.<br />
<br />
; Examples with nul modulus<nowiki>:</nowiki><br />
* <code><nowiki>{{mod|2|0}}</nowiki></code> = {{mod|2|0}}.<br />
* <code><nowiki>{{mod|0|0}}</nowiki></code> = {{mod|0|0}}.<br />
* <code><nowiki>{{mod|-2|0}}</nowiki></code> = {{mod|-2|0}}.<br />
<br />
<includeonly><br />
[[Category:Mathematical function templates|{{PAGENAME}}]]<br />
[[ar:قالب:Mod]]<br />
[[id:Templat:Mod]]<br />
[[ja:Template:Mod]]<br />
[[fi:Malline:Mod]]<br />
[[pt:Predefinição:Mod]]<br />
[[ru:Шаблон:Mod]]<br />
</includeonly></div>
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