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}}
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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.
 
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''.
 
; Usage<nowiki>:</nowiki>
: <tt><nowiki>{{</nowiki>{{PAGENAME}}|</tt>''value''<tt><nowiki>}}</nowiki></tt>
 
; Examples<nowiki>:</nowiki>
* <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.9}}.
* <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 13:19, 3 September 2020

⌈{{{1}}}⌉