Ceil

The least integer greater than or equal to x: .

WikipediaFloor and ceiling functionsMathWorldCeilingFunctionWikidataQ215193FungrimCeil✓Fungrim entrya3a253✓Wolfram LanguageCeiling✓

Ceil(x)the least integer , .

SageMathceil(x)SymPyceiling(x)mpmathceil(x)

Domain: Arithmetic

Details

The least integer : .
Rounds toward , not toward 0 -- so , not .
For a non-integer x, . See Floor.
Agrees with Floor exactly on integers.
Threads element-wise over a list.
compute-engine's Ceil takes a single argument; only Round supports rounding to a given number of decimal places.

Examples

See also: Floor, Round