Majestix: Created page with "{{#ifexpr:({{{1}}})>=2^52or({{{1}}})<-(2^52)|({{{1}}})|floor(({{{1}}}))}} This template produces an expression for the value of a given expression, rounded down to an integer. If the value is in the range of integer-type numbers, the resulting expression is of type integer. Thus, when applying `#expr`, if the value is in the range of integer-type numbers the exact result is..."

2026-04-17T06:42:41Z

Created page with "<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 down 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 integer-type numbers the exact result is..."

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<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 down 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 [[Manual:Expr parser function syntax#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|floor|123.45}}
*{{xpsoc|floor|10/7}}
*{{xpsoc|floor|123.45e20}}

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

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

Template:Floor - Revision history