Template:Ceil: Difference between revisions

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<includeonly>{{#ifexpr:({{{1}}})=(({{{1}}})round 0)|{{#expr:{{{1}}}}}|{{#ifexpr:({{{1}}})>0|{{#expr:((({{{1}}})+0.5)round 0)}}|{{#expr:1-((0.5-({{{1}}}))round 0)}}}}}}</includeonly><noinclude>{{Template documentation}}
{{{1}}}<noinclude>{{Documentation|content=
Implements the mathematical [[ceil function]], i.e. returns the input value if it’s an integer, otherwise returns the lowest integer which is still greater than the input value.
== Description ==
Displays the parameter wrapped in ceiling symbols. This template is for display, not calculation.


For negative numbers, it will truncate the displayed decimals. For positive numbers, the decimals will be dropped and the integer part of the value displayed is incremented (unless the input is already an integer). This is the mathematical definition of the IEEE rounding mode ''toward plus infinite''.
== Examples ==
{{demo|<nowiki>{{Ceil|45.23}}</nowiki>}}
{{demo|<nowiki>{{Ceil|''x''}}</nowiki>}}


; Usage<nowiki>:</nowiki>
== See also ==
: <tt><nowiki>{{</nowiki>{{PAGENAME}}|</tt>''value''<tt><nowiki>}}</nowiki></tt>
{{Math templates|notation}}


; Examples<nowiki>:</nowiki>
[[Category:Mathematical formatting templates]]
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.9}}.
}}</noinclude>
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.5}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.1<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.1}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.0}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>1.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|1.0}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.9}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.5}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.1<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.1}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.0}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.1<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.1}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.5}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.9}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-1.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-1.0}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.0}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.2<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.2}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.5}}.
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.9}}.
 
; See also<nowiki>:</nowiki>
* [[Template:Floor]]
 
[[Category:Templates using ParserFunctions|{{PAGENAME}}]]
[[Category:Mathematical templates|{{PAGENAME}}]]
 
[[fr:Modèle:Ceil]]
[[nl:Sjabloon:Ceil]]
[[zh-classical:Template:Math.ceil]]
</noinclude>

Latest revision as of 11:35, 27 July 2023

⌈{{{1}}}⌉

Template documentation

Description

Displays the parameter wrapped in ceiling symbols. This template is for display, not calculation.

Examples

Template:Demo Template:Demo

See also

[[Category:Template documentation pages{{#translation:}}]]