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| (2 tussenliggende versies door een andere gebruiker niet weergegeven) |
| Regel 1: |
Regel 1: |
| <includeonly>{{#Expr:Floor({{{1}}})}}</includeonly><noinclude>{{sjablooninfo|1= | | <includeonly>{{#Expr:Floor({{{1}}})}}</includeonly><noinclude>{{Sjabloon verouderd|nieuw=<nowiki>{{</nowiki>#expr:floor(...)<nowiki>}}</nowiki>}} |
| | | [[Categorie:Sjablonen scripting|Floor]]</noinclude> |
| {{Sjabloon verouderd|nieuw=<nowiki>{{</nowiki>#expr:floor(...)<nowiki>}}</nowiki>}} | |
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| Implements the mathematical [[Entier|floor function]], i.e. returns the input value if it is an integer, otherwise returns the largest integer below the input value.
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| For positive numbers, the decimals will be simply dropped. For negative numbers, it will also truncate the displayed decimals but the integer part of the absolute value displayed is incremented. This is the mathematical definition of the IEEE rounding mode ''toward minus infinite''.
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| ; Usage<nowiki>:</nowiki>
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| : <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>''value''<nowiki>}}</nowiki></tt>
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| ; Examples<nowiki>:</nowiki>
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.9}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.5}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.1<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.1}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>3.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|3.0}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>1.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|1.0}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.9}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.5}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.1<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.1}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.0}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.1<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.1}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.5}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.9}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-1.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-1.0}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.0<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.0}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.2<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.2}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.5<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.5}}.
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-3.9<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-3.9}}.
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| ; Known bug (should appear extremely rarely as this goes beyond the precision of math performed in pages using this template)
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.99999999999999983<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|0.99999999999999984}} (OK).
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>0.99999999999999999<nowiki>}}</nowiki></tt> = <span style="color:red">{{{{PAGENAME}}|0.99999999999999999}}</span> (wrong but comes from limited floating point precision, the input is considered equal to the exact integer 1).
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.99999999999999983<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.99999999999999984}} (OK).
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| * <tt><nowiki>{{</nowiki>{{PAGENAME}}<nowiki>|</nowiki>-0.99999999999999999<nowiki>}}</nowiki></tt> = {{{{PAGENAME}}|-0.99999999999999999}} (OK, the input is considered equal to the exact integer -1, so this exact -1 integer is returned).
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| {| class="prettytable" style="text-align: left;"
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| ! num || floor || ceil
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| |-
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| | -0.999999999999998334665463062265 || {{floor|-0.9999999999999998334665463062265}} || {{ceil|-0.9999999999999998334665463062265}}
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| |-
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| | -0.999999999999998334665463062266 || {{floor|-0.9999999999999998334665463062266}} || {{ceil|-0.9999999999999998334665463062266}}
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| |-
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| | -0.999999999999998334665463062267 || {{floor|-0.9999999999999998334665463062267}} || {{ceil|-0.9999999999999998334665463062267}}
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| |-
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| | -0.999999999999999444888487687420 || {{floor|-0.9999999999999999444888487687420}} || {{ceil|-0.9999999999999999444888487687420}}
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| |-
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| | -0.999999999999999444888487687421 || {{floor|-0.9999999999999999444888487687421}} || {{ceil|-0.9999999999999999444888487687421}}
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| |-
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| | -0.999999999999999444888487687422 || {{floor|-0.9999999999999999444888487687422}} || {{ceil|-0.9999999999999999444888487687422}}
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| |-
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| | 0.(322)01 || {{floor|-0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001}} || {{ceil|-0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001}}
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| |-
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| | 0.(323)01 || {{floor|-0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001}} || {{ceil|-0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001}}
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| |}
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| }}[[Categorie:Sjablonen scripting|Floor]]</noinclude>
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Dit sjabloon is verouderd