# Template:Ceil

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 `#expr`

, if the value is in the range of integer-type numbers the exact result is produced. The reason for not applying `#expr`

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:

`{{ceil|123.45}}`

→ floor((123.45))`{{ceil|10/7}}`

→ floor((10/7))`{{ceil|123.45e20}}`

→ (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