テンプレート:Ceilのソースを表示

<includeonly>{{#ifexpr:({{{1}}})>=2^52or({{{1}}})<-(2^52)|({{{1}}})|floor(({{{1}}}))}}</includeonly><noinclude>

This template produces an expression for the value of a given expression, rounded up to an integer. If the value is in the range of integer-type numbers, the resulting expression is of type integer.

Thus, when applying <code>#expr</code>, if the value is in the range of [[Help:Calculation#General|integer-type numbers]] the exact result is produced. The reason for not applying <code>#expr</code> in this template is:
*for integer-type numbers: in subsequent use in another expression the value would be rounded to float
*for floats: they would be rounded to 14 digits

Examples:
*{{xpsoc|ceil|123.45}}
*{{xpsoc|ceil|10/7}}
*{{xpsoc|ceil|123.45e20}}

Advantage compared with the function ceil:
*for integer-type numbers with an absolute value between 2^53 and 2^63 the function rounds to float (not necessarily upward), while  the template gives the integer-type expression for the exact result 

[[Category:Mathematical templates|{{PAGENAME}}]]</noinclude>