Template:Floor: Difference between revisions
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<includeonly>{{#ifexpr:({{{1}}})=(({{{1}}})round 0)|{{#expr:{{{1}}}}}|{{#ifexpr:({{{1}}})>0|{{#expr:((({{{1}}})+0.5)round 0)-1}}|{{#expr:-((0.5-({{{1}}}))round 0)}}}}}}</includeonly><noinclude>{{Template documentation}} | <includeonly>{{#ifexpr:({{{1}}})=(({{{1}}})round 0)|{{#expr:{{{1}}}}}|{{#ifexpr:({{{1}}})>0|{{#expr:((({{{1}}})+0.5)round 0)-1}}|{{#expr:-((0.5-({{{1}}}))round 0)}}}}}}</includeonly><noinclude>{{Template documentation}} | ||
Implements the mathematical [[floor function]], i.e. returns the input value if it is an integer, otherwise returns the largest integer below the input value. | Implements the mathematical [[floor function]], i.e. returns the input value if it is an integer, otherwise returns the largest integer below the input value. | ||
For negative numbers, the decimals will be simply dropped. For positive 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 plus infinite''. | |||
; Usage<nowiki>:</nowiki> | ; Usage<nowiki>:</nowiki> | ||
Revision as of 12:25, 3 May 2006
Template:Template documentation Implements the mathematical floor function, i.e. returns the input value if it is an integer, otherwise returns the largest integer below the input value.
For negative numbers, the decimals will be simply dropped. For positive 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 plus infinite.
- Usage:
- {{Floor|value}}
- Examples:
- {{Floor|3.9}} = 3.
- {{Floor|3.5}} = 3.
- {{Floor|3.1}} = 3.
- {{Floor|3.0}} = 3.
- {{Floor|1.0}} = 1.
- {{Floor|0.9}} = 0.
- {{Floor|0.5}} = 0.
- {{Floor|0.1}} = 0.
- {{Floor|0.0}} = 0.
- {{Floor|-0.1}} = -1.
- {{Floor|-0.5}} = -1.
- {{Floor|-0.9}} = -1.
- {{Floor|-1.0}} = -1.
- {{Floor|-3.0}} = -3.
- {{Floor|-3.2}} = -4.
- {{Floor|-3.5}} = -4.
- {{Floor|-3.9}} = -4.
- Known bug (should appear extremely rarely as this goes beyond the precision of math performed in pages using this template)
- {{Floor|-0.999999999999999}} = -2 (OK).
- {{Floor|-0.9999999999999999}} = -2 (wrong for now and unexplainable, how to correct it?).
- {{Floor|-1.9999999999999999}} = -2 (OK).
- See also:
