Template:Mod/doc: Difference between revisions
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(Created page with "{{documentation subpage}} Implements the mathematical modulo operator. The returned result is always of the same sign as the ''modulus'' or nul, and its...") |
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{{documentation subpage}} | {{documentation subpage}} | ||
Implements the mathematical | Implements the mathematical modulo operator. The returned result is always of the same sign as the ''modulus'' or zero, and its absolute value is lower than the absolute value of the ''modulus''. However, this template returns 0 if the ''modulus'' is zero (this template should never return a division by zero error). This template is '''not''' the same as the mod operator in the #expr parser function, which first truncates both operands to an integer before calculating the remainder. | ||
This template can be substituted. | This template can be substituted. | ||
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* <code><nowiki>{{mod|0|0}}</nowiki></code> = {{mod|0|0}}. | * <code><nowiki>{{mod|0|0}}</nowiki></code> = {{mod|0|0}}. | ||
* <code><nowiki>{{mod|-2|0}}</nowiki></code> = {{mod|-2|0}}. | * <code><nowiki>{{mod|-2|0}}</nowiki></code> = {{mod|-2|0}}. | ||
<includeonly> | <includeonly> | ||
[[Category:Mathematical function templates|{{PAGENAME}}]] | [[Category:Mathematical function templates|{{PAGENAME}}]] | ||
</includeonly> | </includeonly> | ||
Revision as of 20:09, 30 January 2015
Template:Documentation subpage Implements the mathematical modulo operator. The returned result is always of the same sign as the modulus or zero, and its absolute value is lower than the absolute value of the modulus. However, this template returns 0 if the modulus is zero (this template should never return a division by zero error). This template is not the same as the mod operator in the #expr parser function, which first truncates both operands to an integer before calculating the remainder.
This template can be substituted.
- Usage:
{{mod|dividend|modulus}}- Computes the modulo dynamically.
{{subst:mod|dividend|modulus}}- Substitute the template invokation by its computed value when saving an article wiki source.
- Examples with positive integer modulus:
{{mod|12|10}}= 2.{{mod|10.1|10}}= 0.1.{{mod|10|10}}= 0.{{mod|2|10}}= 2.{{mod|0|10}}= 0.{{mod|-2|10}}= 8.{{mod|-10|10}}= 0.{{mod|-10.1|10}}= 9.9.{{mod|-12|10}}= 8.
- Examples with negative integer modulus:
{{mod|12|-10}}= -8.{{mod|10.1|-10}}= -9.9.{{mod|10|-10}}= 0.{{mod|2|-10}}= -8.{{mod|0|-10}}= 0.{{mod|-2|-10}}= -2.{{mod|-10|-10}}= 0.{{mod|-10.1|-10}}= -0.1.{{mod|-12|-10}}= -2.
- Examples with positive non integer modulus:
{{mod|21.5|10.5}}= 0.5.{{mod|21.1|10.5}}= 0.1.{{mod|21|10.5}}= 0.{{mod|20.9|10.5}}= 10.4.{{mod|11|10.5}}= 0.5.{{mod|10.6|10.5}}= 0.1.{{mod|10.5|10.5}}= 0.{{mod|10.1|10.5}}= 10.1.{{mod|10|10.5}}= 10.{{mod|2|10.5}}= 2.{{mod|0|10.5}}= 0.{{mod|-2|10.5}}= 8.5.{{mod|-10|10.5}}= 0.5.{{mod|-10.1|10.5}}= 0.4.{{mod|-10.5|10.5}}= 0.{{mod|-10.6|10.5}}= 10.4.{{mod|-11|10.5}}= 10.{{mod|-20.9|10.5}}= 0.1.{{mod|-21|10.5}}= 0.{{mod|-21.1|10.5}}= 10.4.{{mod|-21.5|10.5}}= 10.
- Examples with nul modulus:
{{mod|2|0}}= 0.{{mod|0|0}}= 0.{{mod|-2|0}}= 0.
