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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.
{{mod|
dividend|
modulus}}
{{subst:mod|
dividend|
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.{{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.{{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.{{mod|2|0}}
= 0.{{mod|0|0}}
= 0.{{mod|-2|0}}
= 0.