Editing Template:Oom2
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<includeonly>{{#ifexpr:({{{1}}})<0|number <0|{{#ifexpr:({{{1}}})=0|-1E308|{{#expr:0+((ln({{{1}}})/ln2)round0){{#ifexpr:({{#ifexpr:(({{{1}}})>2^52)and(((ln({{{1}}})/ln2)round0)<63)|trunc(2^((ln({{{1}}})/ln2)round0))|2^((ln({{{1}}})/ln2)round0)}}>({{{1}}}))or((({{{1}}})=2^63)and(({{{1}}})=trunc({{{1}}})))|-1}}}}}}}}</includeonly><noinclude>[[Category:Templates]]</noinclude> | <includeonly>{{#ifexpr:({{{1}}})<0|number <0|{{#ifexpr:({{{1}}})=0|-1E308|{{#expr:0+((ln({{{1}}})/ln2)round0){{#ifexpr:({{#ifexpr:(({{{1}}})>2^52)and(((ln({{{1}}})/ln2)round0)<63)|trunc(2^((ln({{{1}}})/ln2)round0))|2^((ln({{{1}}})/ln2)round0)}}>({{{1}}}))or((({{{1}}})=2^63)and(({{{1}}})=trunc({{{1}}})))|-1}}}}}}}}</includeonly><noinclude> | ||
This template determines the log to the base 2, rounded down to an integer (binary [[w:order of magnitude|'''O'''rder '''O'''f '''M'''agnitude]]), of a number of type float. In other words, it determines the log to the base 2 of the number rounded down to a power of 2. | |||
The internally representable number should not be confused with the given decimal number: | |||
*{{xpsoc|oom2|3.9999999999999999}} | |||
Thus the template takes the input as representing an internally representable number, just like #expr does, as opposed to applying string operations to find the characters in the decimal notation and then find the required quantity for the exact decimal number. | |||
*{{xpsoc|oom2|1e2}} | |||
*{{xpsoc|oom2|1e3}} | |||
*{{xpsoc|oom2|1e4}} | |||
*{{xpsoc|oom2|1e5}} | |||
*{{xpsoc|oom2|1e6}} | |||
*{{xpsoc|oom2|1e7}} | |||
*{{xpsoc|oom2|1e8}} | |||
*{{xpsoc|oom2|1e9}} | |||
*{{xpsoc|oom2|1e10}} | |||
*{{xpsoc|oom2|1e11}} | |||
*{{xpsoc|oom2|1e12}} | |||
*{{xpsoc|oom2|1e13}} | |||
*{{xpsoc|oom2|1e14}} | |||
*{{xpsoc|oom2|1e15}} | |||
*{{xpsoc|oom2|1e16}} | |||
*{{xpsoc|oom2|1e17}} | |||
*{{xpsoc|oom2|1e18}} | |||
*{{xpsoc|oom2|1e19}} | |||
*{{xpsoc|oom2|1e20}} | |||
*{{xpsoc|oom2|trunc2^trunc53-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc53}} | |||
*{{xpsoc|oom2|trunc2^trunc54-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc54}} | |||
*{{xpsoc|oom2|trunc2^trunc55-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc55}} | |||
*{{xpsoc|oom2|trunc2^trunc56-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc56}} | |||
*{{xpsoc|oom2|trunc2^trunc57-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc57}} | |||
*{{xpsoc|oom2|trunc2^trunc58-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc58}} | |||
*{{xpsoc|oom2|trunc2^trunc59-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc59}} | |||
*{{xpsoc|oom2|trunc2^trunc60-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc60}} | |||
*{{xpsoc|oom2|trunc2^trunc61-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc61}} | |||
*{{xpsoc|oom2|trunc2^trunc62-trunc1}} | |||
*{{xpsoc|oom2|trunc2^trunc62}} | |||
*{{xpsoc|oom2|trunc2^trunc62-trunc1+trunc2^trunc62}} | |||
*{{xpsoc|oom2|trunc2^trunc63}} | |||
*{{xpsoc|oom2|2^-900-2^-953}} | |||
*{{xpsoc|oom2|2^-900-2^-954}} | |||
**{{xpsoc|#expr:(2^-900-2^-954)-2^-900}} | |||
*{{xpsoc|oom2|2^1000-2^947}} | |||
*{{xpsoc|oom2|2^1000-2^946}} | |||
**{{xpsoc|#expr:(2^1000-2^946)-2^1000}} | |||
*{{xpsoc|oom2|2^1000}} | |||
*{{xpsoc|oom2|2^1001}} | |||
*{{xpsoc|oom2|2^1002}} | |||
*{{xpsoc|oom2|2^1003}} | |||
*{{xpsoc|oom2|2^1004}} | |||
*{{xpsoc|oom2|2^1005}} | |||
*{{xpsoc|oom2|2^1006}} | |||
*{{xpsoc|oom2|2^1007}} | |||
*{{xpsoc|oom2|2^1008}} | |||
*{{xpsoc|oom2|2^1009}} | |||
*{{xpsoc|oom2|2^1010}} | |||
*{{xpsoc|oom2|2^1011}} | |||
*{{xpsoc|oom2|2^1012}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1000}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1001}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1002}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1003}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1004}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1005}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1006}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1007}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1008}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1009}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1010}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1011}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1023}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1023}} | |||
*{{xpsoc|oom2|(2-2^-52)*2^1023}} | |||
*{{xpsoc|oom2|2^1024}} | |||
*{{xpsoc|oom2|2^-1074}} | |||
*{{xpsoc|oom2|2^-1075}} | |||
*{{xpsoc|oom2|0}} | |||
*<code><nowiki>{{#expr:2^{{oom2|2^-1075}}}}</nowiki></code> → {{#expr:2^{{oom2|2^-1075}}}} | |||
*<code><nowiki>{{#expr:2^{{oom2|0}}}}</nowiki></code> → {{#expr:2^{{oom2|0}}}} | |||
*{{xpsoc|oom2|2^61}} | |||
*{{xpsoc|oom2|trunc(2^62-512)+trunc511}} | |||
*{{xpsoc|oom2|2^62}} | |||
*{{xpsoc|oom2|1.5*2^62}} | |||
*{{xpsoc|oom2|trunc(2^63-1024)+trunc1023}} | |||
*{{xpsoc|oom2|1.5*2^63}} | |||
[[Category:Templates]]</noinclude> | |||