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Ceiling Function

Usage

Ceiling[x] gives the smallest integer greater than or equal to x.
Ceiling[x, a] gives the smallest multiple of a greater than or equal to x.

Basic examples

Round up to the nearest integer:
In[1]:=Ceiling[2.4]
Out[1]=3
In[2]:=Ceiling[2.6]
Out[2]=3
Round up to the nearest multiple of 10:
In[1]:=Ceiling[226, 10]
Out[1]=230
Plot the function over a subset of the reals:
In[1]:=Plot[Ceiling[x], {x, -3, 3}]
Out[1]=

Notation

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Attributes

Listable | NumericFunction | Protected | ReadProtected

Relationships with other entities

Relationships with other entities

Typical ranks of usage in programs

395th most common (1 in 16600 symbols)

265th most common (1 in 6250 symbols)

478th most common (1 in 7310 symbols)

History

introduced in Version 1 (June 1988)
last modified in Version 6 (May 2007)

Timeline

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