CEILING.html -- ACL2 Version 6.3

### CEILING

division returning an integer by truncating toward positive infinity

    Major Section:  ACL2-BUILT-INS

    Example Forms:
    ACL2 !>(ceiling 14 3)
    5
    ACL2 !>(ceiling -14 3)
    -4
    ACL2 !>(ceiling 14 -3)
    -4
    ACL2 !>(ceiling -14 -3)
    5
    ACL2 !>(ceiling -15 -3)
    5

`(Ceiling i j)` is the result of taking the quotient of `i` and `j` and returning the smallest integer that is at least as great as that quotient. For example, the quotient of `-14` by `3` is `-4 2/3`, and the smallest integer at least that great is `-4`.

The guard for `(ceiling i j)` requires that `i` and `j` are rational (real, in ACL2(r)) numbers and `j` is non-zero.

`Ceiling` is a Common Lisp function. See any Common Lisp documentation for more information. However, note that unlike Common Lisp, the ACL2 `ceiling` function returns only a single value,

To see the ACL2 definition of this function, see pf.