Template:Modulo

Template documentation

This template is used on many pages.

To avoid large-scale disruption and unnecessary server load, any changes to this template should first be tested in its /sandbox or /testcases subpages or in your own user subpage. The tested changes can then be added to this page in one single edit.

Please consider discussing any changes on the talk page before implementing them.

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 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.

See also