Template:Mod

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).

Usage:

{{Mod|dividend|modulus}}

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}} = 0.1.
• {{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.

From mod.