Template:Mod: Difference between revisions

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Revision as of 11:18, 26 May 2006

Implements the mathematical modulo operator. It should not be confused with the parser function mod (remainder of division after truncating both operands to an integer).

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.
- compare: {{#expr:10.1 mod 10}} = 0.

{{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. compare: {{#expr:21.5 mod 10.5}} = 1. {{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 w:en:Template:Mod.

@@ Line 10: / Line 10: @@
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>12<nowiki>|</nowiki>10<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|12|10}}.
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>10.1<nowiki>|</nowiki>10<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|10.1|10}}.
+**compare: <tt><nowiki>{{#expr:10.1 mod 10}}</nowiki> = {{#expr:10.1 mod 10}}.
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>10<nowiki>|</nowiki>10<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|10|10}}.
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>2<nowiki>|</nowiki>10<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|2|10}}.
@@ Line 31: / Line 32: @@
 ; Examples with positive non integer modulus<nowiki>:</nowiki>
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>21.5<nowiki>|</nowiki>10.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|21.5|10.5}}.
-**Compare: <tt><nowiki>{{#expr:21.5 mod 10.5}}</nowiki> = {{#expr:21.5 mod 10.5}}.
+**compare: <tt><nowiki>{{#expr:21.5 mod 10.5}}</nowiki> = {{#expr:21.5 mod 10.5}}.
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>21.1<nowiki>|</nowiki>10.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|21.1|10.5}}.
 * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>21<nowiki>|</nowiki>10.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|21|10.5}}.