ceiling

Round up

ceiling x      ceiling[x]

Returns the least integer greater than or equal to boolean or numeric x.

q)ceiling -2.1 0 2.1
-2 0 3
q)ceiling 01b
0 1i

Implicit iteration

ceiling is an atomic function.

q)ceiling(1.2;3.4 5.6)
2
4 6

q)ceiling`a`b!(1.2;3.4 5.6)
a| 2
b| 4 6

q)ceiling([]a:1.2 3.4;b:5.6 7.8)
a b
---
2 6
4 8

Prior to V3.0

Prior to V3.0, ceiling

• used comparison tolerance
• accepted datetime (Since V3.0, use "d"$23:59:59.999+ instead.)

q)ceiling 2 + 10 xexp -12 -13
3 2

q)ceiling 2010.05.13T12:30:59.999 /type error since V3.0
2010.05.14
q)"d"$23:59:59.999+ 2010.05.13T12:30:59.999
2010.05.14

Domain and range

domain b g x h i j e f c s p m d z n u v t
range  i . i h i j j j i . . . . . . . . .

Range: hij

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floor
Mathematics