Template:Round/doc: Difference between revisions

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{{Documentation subpage}}
{{Documentation subpage}}{{template shortcut|rnd}}
<!-- PLEASE ADD CATEGORIES AND INTERWIKIS AT THE BOTTOM OF THIS PAGE. -->
<!-- PLEASE ADD CATEGORIES AT THE BOTTOM OF THIS PAGE. -->
{{high-risk|200,000+}}
{{high-use|263614}}
{{lua|Module:Math}}
{{lua|Module:Math}}


==Usage==
==Usage==
This template rounds parameter 1 by parameter 2 decimal places (goes the other way for negative rounding) and includes trailing zeros.
This template rounds parameter 1 by parameter 2 decimal places (goes the other way for negative rounding) and includes trailing zeros.
::: {{<code>'''rnd'''|54.376|2</code>}} &nbsp; &nbsp; gives {{rnd|54.376|2}}
* {{tlc|{{BASEPAGENAME}}|54.376|2}} &nbsp; &nbsp; gives {{{{BASEPAGENAME}}|54.376|2}}
::: {{<code>'''rnd'''|54.376|-1</code>}} &nbsp; gives {{rnd|54.376|-1}}
* {{tlc|{{BASEPAGENAME}}|54.376|-1}} &nbsp; gives {{{{BASEPAGENAME}}|54.376|-1}}
::: {{<code>'''rnd'''|68.4273E12|-10</code>}} gives {{rnd|68.4273E12|-10}}
* {{tlc|{{BASEPAGENAME}}|68.4273E12|-10}} gives {{{{BASEPAGENAME}}|68.4273E12|-10}}
For example, rounding by 1 gives 1 decimal digit, rounding by&nbsp;0 gives integers, or rounding by&nbsp;-2 gives the amount in hundreds. [[Scientific notation]] is displayed for numbers greater than or equal to 1{{e|9}}, or less than 1{{e|−4}}.
For example, rounding by 1 gives 1 decimal digit, rounding by&nbsp;0 gives integers, or rounding by&nbsp;-2 gives the amount in hundreds. [[Scientific notation]] is displayed for numbers greater than or equal to 1{{e|9}}, or less than 1{{e|−4}}.


'''Examples:'''
'''Examples:'''
*{{<code>rnd|2.0004|3</code>}} gives {{rnd|2.0004|3}}
*{{tlc|{{BASEPAGENAME}}|2.0004|3}} gives {{{{BASEPAGENAME}}|2.0004|3}}
**whereas {{<code>#expr:2.0004 round 3</code>}} gives {{#expr:2.0004 round 3}}
**whereas <code><nowiki>{{#expr:2.0004 round 3}}</nowiki></code> gives {{#expr:2.0004 round 3}}
*{{<code>rnd|0.000020004|7</code>}} gives {{rnd|0.000020004|7}}
*{{tlc|{{BASEPAGENAME}}|0.000020004|7}} gives {{{{BASEPAGENAME}}|0.000020004|7}}
*{{<code>rnd|0|8</code>}} gives {{rnd|0|8}}
*{{tlc|{{BASEPAGENAME}}|0|8}} gives {{{{BASEPAGENAME}}|0|8}}
*{{<code>rnd|154268|-3</code>}} gives {{rnd|154268|-3}}
*{{tlc|{{BASEPAGENAME}}|154268|-3}} gives {{{{BASEPAGENAME}}|154268|-3}}
*{{<code>rnd|154568|-3</code>}} gives {{rnd|154568|-3}}
*{{tlc|{{BASEPAGENAME}}|154568|-3}} gives {{{{BASEPAGENAME}}|154568|-3}}
*{{xpsoc|rnd|1200004|-1}}
*{{xpsoc|{{BASEPAGENAME}}|1200004|-1}}
**whereas {{xpsoc|#expr:1200004round-1}}, even though  {{xpsoc|#expr:1300004round-1}} (see [[m:Help:Format produced by expr]])  
**whereas {{xpsoc|#expr:1200004round-1}}, even though  {{xpsoc|#expr:1300004round-1}} (see [[m:Help:Format produced by expr]])  
*{{xpsoc|rnd|1300004|-1}}
*{{xpsoc|{{BASEPAGENAME}}|1300004|-1}}
*{{xpsoc|rnd|4.1e6|9}}
*{{xpsoc|{{BASEPAGENAME}}|4.1e6|9}}
*{{xpsoc|rnd|4.1e6|10}}
*{{xpsoc|{{BASEPAGENAME}}|4.1e6|10}}
*{{xpsoc|rnd|1542689271|-7}}
*{{xpsoc|{{BASEPAGENAME}}|1542689271|-7}}
*{{xpsoc|rnd|1542689271|2}}
*{{xpsoc|{{BASEPAGENAME}}|1542689271|2}}
*{{xpsoc|rnd|7e9|-9}}
*{{xpsoc|{{BASEPAGENAME}}|7e9|-9}}
*{{xpsoc|rnd|-123|1}}
*{{xpsoc|{{BASEPAGENAME}}|-123|1}}
*{{xpsoc|rnd|-1200007|-2}}
*{{xpsoc|{{BASEPAGENAME}}|-1200007|-2}}
*{{xpsoc|rnd|-1234567899|-7}}
*{{xpsoc|{{BASEPAGENAME}}|-1234567899|-7}}
As with #expr, the total number of significant digits is not more than 14:
As with #expr, the total number of significant digits is not more than 14:
*{{xpsoc|rnd|1234567890.123456789|10}}
*{{xpsoc|{{BASEPAGENAME}}|1234567890.123456789|10}}
*{{xpsoc|rnd|123456789.0123456789|10}}
*{{xpsoc|{{BASEPAGENAME}}|123456789.0123456789|10}}
*{{xpsoc|rnd|.0001234567890123456789|20}}
*{{xpsoc|{{BASEPAGENAME}}|.0001234567890123456789|20}}
 
;The second parameter, precision, shoulld be an integer. Non-integer may give unexpected result.
*{{xpsoc|{{BASEPAGENAME}}|1.234567}}
*{{xpsoc|{{BASEPAGENAME}}|1.234567|2}}
*{{xpsoc|{{BASEPAGENAME}}|1.234567|2.3}}
*{{xpsoc|{{BASEPAGENAME}}|1.234567|2.7}}


==Internal details==
==Internal details==
The markup-based version of Template:rnd uses three subtemplates:
The markup-based version of Template:{{BASEPAGENAME}} uses three subtemplates:
*{{tl|rnd/-}} — for trailing zeros
*{{tl|{{BASEPAGENAME}}/-}} — for trailing zeros
*{{tl|rnd/e+}} — for scientific notation for numbers greater than or equal to 10<sup>9</sup> or less than or equal to −10<sup>9</sup>
*{{tl|{{BASEPAGENAME}}/e+}} — for scientific notation for numbers greater than or equal to 10<sup>9</sup> or less than or equal to −10<sup>9</sup>
*{{tl|rnd/e−}} — for scientific notation for numbers greater than −10<sup>−4</sup> and less than 10<sup>−4</sup> but not equal to zero
*{{tl|{{BASEPAGENAME}}/e−}} — for scientific notation for numbers greater than −10<sup>−4</sup> and less than 10<sup>−4</sup> but not equal to zero


The [[Lua script|Lua]]-based version of <nowiki>{{rnd}}</nowiki> uses [[Module:Math]] and always has an expansion depth of 3. However, the markup-based version has an expansion depth of 9–15, which depends on the size of the numbers (integer results use depth 9, decimals use depth 12), where astronomical numbers can hit expansion depth of 15 levels, for <nowiki>{{rnd|56.44e33|-32}}</nowiki>&nbsp;&rarr; 5.64&nbsp;× 10<sup>34</sup>.
The [[Lua script|Lua]]-based version of {{tlc|{{BASEPAGENAME}}}} uses [[Module:Math]] and always has an expansion depth of 3. However, the markup-based version has an expansion depth of 9–15, which depends on the size of the numbers (integer results use depth 9, decimals use depth 12), where astronomical numbers can hit expansion depth of 15 levels, for {{tlc|{{BASEPAGENAME}}|56.44e33|-32}}&nbsp;→ 5.64&nbsp;× 10<sup>34</sup>.


===TemplateData===
==TemplateData==
{{TemplateDataHeader}}
{{TemplateDataHeader}}
<templatedata>{
<templatedata>{
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}}</templatedata>
}}</templatedata>


==Maintenance categories==
*{{clc|Pages with bad rounding precision}}


==See also==
==See also==
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*{{tl|rndnear}}
*{{tl|rndnear}}
*{{tl|rndgaps}}
*{{tl|rndgaps}}
*{{tl|rndcalc}}
*{{tl|significant figures}}


<includeonly><!--
<includeonly>{{basepage subpage|<!--
++++ PLEASE ADD CATEGORIES AND INTERWIKIS BELOW THIS LINE, THANK YOU. -->
++++ PLEASE ADD CATEGORIES BELOW THIS LINE, THANK YOU. -->
{{DEFAULTSORT:{{PAGENAME}}}}
[[Category:Mathematical function templates]]
[[Category:Mathematical function templates]]
 
[[Category:Templates that add a tracking category]]
</includeonly>
}}</includeonly>

Latest revision as of 13:41, 3 September 2020

Shortcut

Usage

This template rounds parameter 1 by parameter 2 decimal places (goes the other way for negative rounding) and includes trailing zeros.

  • {{Round|54.376|2}}     gives 54.38
  • {{Round|54.376|-1}}   gives 50
  • {{Round|68.4273E12|-10}} gives 6.843×1013

For example, rounding by 1 gives 1 decimal digit, rounding by 0 gives integers, or rounding by -2 gives the amount in hundreds. Scientific notation is displayed for numbers greater than or equal to 1×109, or less than 1×10−4.

Examples:

  • {{Round|2.0004|3}} gives 2.000
    • whereas {{#expr:2.0004 round 3}} gives 2
  • {{Round|0.000020004|7}} gives 000
  • {{Round|0|8}} gives 0.00000000
  • {{Round|154268|-3}} gives 154,000
  • {{Round|154568|-3}} gives 155,000
  • {{Round|1200004|-1}} → 1,200,000
  • {{Round|1300004|-1}} → 1,300,000
  • {{Round|4.1e6|9}} → 4,100,000.000000000
  • {{Round|4.1e6|10}} → 4,100,000.0000000000
  • {{Round|1542689271|-7}} → 1.54×109
  • {{Round|1542689271|2}} → 1.54268927100×109
  • {{Round|7e9|-9}} → 7×109
  • {{Round|-123|1}} → −123.0
  • {{Round|-1200007|-2}} → −1,200,000
  • {{Round|-1234567899|-7}} → −1.23×109

As with #expr, the total number of significant digits is not more than 14:

  • {{Round|1234567890.123456789|10}} → 1.2345678901235×109
  • {{Round|123456789.0123456789|10}} → 123,456,789.01235
  • {{Round|.0001234567890123456789|20}} → 0.00012345678901235
The second parameter, precision, shoulld be an integer. Non-integer may give unexpected result.
  • {{Round|1.234567}} → 1
  • {{Round|1.234567|2}} → 1.23
  • {{Round|1.234567|2.3}} → 1.2329205947231
  • {{Round|1.234567|2.7}} → 1.2350673729657

Internal details

The markup-based version of Template:Round uses three subtemplates:

  • {{Round/-}} — for trailing zeros
  • {{Round/e+}} — for scientific notation for numbers greater than or equal to 109 or less than or equal to −109
  • {{Round/e−}} — for scientific notation for numbers greater than −10−4 and less than 10−4 but not equal to zero

The Lua-based version of {{Round}} uses Module:Math and always has an expansion depth of 3. However, the markup-based version has an expansion depth of 9–15, which depends on the size of the numbers (integer results use depth 9, decimals use depth 12), where astronomical numbers can hit expansion depth of 15 levels, for {{Round|56.44e33|-32}} → 5.64 × 1034.

TemplateData

This is the TemplateData for this template used by TemplateWizard, VisualEditor and other tools. See a monthly parameter usage report for this template in articles based on this TemplateData.

TemplateData for Round

Rounds (parameter 1) by (parameter 2) decimal places, and formats. Scientific notation is used for numbers greater than 1×10^9, or less than 1×10^−4.

Template parameters

ParameterDescriptionTypeStatus
number1

The number to be rounded

Numberrequired
decimal places2

The number of decimal places, if negative the number is rounded so the last (parameter 2) digits are zero

Numberrequired

Maintenance categories

See also


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