Help:Calculation

With the WikiMedia extension ParserFunctions one can do computations.

The expr function computes mathematical expressions. The syntax is:

{{ #expr: expression }}

The spaces are not needed. Inside numbers no spaces are allowed.

The supported operators (roughly in order of increasing precedence) are:

Operator	Operation	Example
	none	{{#expr: 123456789012345}} = 1.2345678901234E+14
		{{#expr: 0.000001}} = 1.0E-6
*	Multiplication	{{#expr: 30 * 7}} = 210
/ or div	Division	{{#expr: 30 / 7}} = 4.2857142857143
		{{#expr: 30 div 7}} = 4.2857142857143
+	Addition	{{#expr: 30 + 7}} = 37
-	Subtraction (or negation)	{{#expr: 30 - 7}} = 23
mod	Modulo, gives the remainder of a division	{{#expr: 30 mod 7}} = 2
round	Rounds off the number on the left to the specified number of digits after the decimal place, given on the right	{{#expr: 30 / 7 round 7}} = 4.2857143
	Rounds off the number on the left to the specified power of 10, given on the right	{{#expr: 1234567 round -3}} = 1235000
=	Equality	{{#expr: 30 = 7}} = 0
<> or !=	Inequality	{{#expr: 30 <> 7}} = 1
<	Less than	{{#expr: 30 < 7}} = 0
>	Greater than	{{#expr: 30 > 7}} = 1
<=	Less than or equal to	{{#expr: 30 <= 7}} = 0
>=	Greater than or equal to	{{#expr: 30 >= 7}} = 1
and	Logical AND	{{#expr: 30 and 7}} = 1
or	Logical OR	{{#expr: 30 or 7}} = 1
not	Logical NOT	{{#expr: not 7}} = 0
		{{#expr: not 0}} = 1
( )	Grouping operators	{{#expr: (30 + 7) * 7 }} = 259

The boolean operators consider 0 to be false and any other number to be true. As output, "true" produces 1.

Precedence:

• {{#expr: 2 - 3 + 4 / 5 * 6 }} = 3.8

(+ and - have equal precedence, * and / also, both higher than the former two).

• {{#expr: 2 = 5 < 3 + 4 }} = 1

(first +, then =, then <).

Numbers

In the numbers in submitted expressions a decimal point is allowed, and a non-integer result has a decimal point in it. Scientific notation is produced for numbers less than 1E-4 and for numbers greater than or equal to 1E+12 (see Template talk:Pow), but not accepted as input.

Thus:

• {{#expr: 1/10000 *2}} gives 0.0002
• {{#expr: {{#expr: 1/10000}} *2}} gives 0.0002.
• {{#expr: 1/100000 *2}} gives 2.0E-5

but

• {{#expr: 2E-05 * 2}} gives 4.0E-5.
• {{#expr: {{#expr: 1/100000}} *2}} gives 2.0E-5.

Commas

Commas are neither accepted in input nor produced in output:

• {{#expr: 123,456}} gives

This applies even though e.g. {{NUMBEROFARTICLES}} produces (in this project) 143,447, i.e., it uses comma delimiters every three digits, and in some localized versions of MediaWiki point delimiters.

If a number uses point delimiters every three digits (as in continental Europe) and the number is an integer below one million, removing the point can be done by multiplying by 1000 (#expr interprets the point as a decimal point).

See also

• Category:Mathematical templates
• Template:Eval
• Template:Evals
• w:en:Category:Mathematical templates
• Template:Example table with computations
• Template:Csn - separates digits of an integer in groups of three.

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